{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import scipy.sparse as sprs\n",
    "import vk\n",
    "import time\n",
    "from tqdm.auto import tqdm\n",
    "import os\n",
    "import gc\n",
    "import numpy as np\n",
    "from scipy.sparse import csr_matrix, lil_matrix\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import seaborn as sns\n",
    "import scipy\n",
    "import random\n",
    "from scipy import stats\n",
    "import chart_studio.plotly as py\n",
    "import plotly.graph_objs as go\n",
    "from scipy.stats import binom\n",
    "import math\n",
    "from matplotlib import mlab\n",
    "import pylab\n",
    "from statsmodels.stats.proportion import proportion_confint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def op_distr(x, xlabel_name, limits, yscale, density_value):\n",
    "    plt.figure(figsize=(5, 5))\n",
    "    n, bins, patches = plt.hist(x, 50, density=density_value, facecolor='grey')\n",
    "    if yscale == 'log':\n",
    "        plt.yscale('log')\n",
    "    else:\n",
    "        plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n",
    "    plt.xlabel(xlabel_name, fontsize = 15)\n",
    "    plt.xlim(limits[0], limits[1])\n",
    "    plt.grid(True)\n",
    "    plt.savefig('image.pdf')\n",
    "    plt.show()\n",
    "    #plt.savefig('image.pdf')\n",
    "    return 0\n",
    "\n",
    "def assortativity(t):\n",
    "    \n",
    "    labels = np.array(data['$p_{i}(t_{' + str(t) + '})$'])\n",
    "\n",
    "    labels_new = np.around(labels*10, decimals=1)\n",
    "    labels_new = labels_new.astype(int)\n",
    "\n",
    "    opinion_dict = {i: labels_new[i] for i in range(len(labels_new))}\n",
    "    nx.set_node_attributes(Graph, opinion_dict, 'opinion')\n",
    "    print(nx.numeric_assortativity_coefficient(Graph, 'opinion'))\n",
    "    \n",
    "    return 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#SUPPRESS SCIENTIFIC NOTATION\n",
    "pd.set_option('display.float_format', lambda x: '%.2f' % x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Download Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Download X, X_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1660927, 6)\n"
     ]
    }
   ],
   "source": [
    "data = pd.read_csv('X_opinions.scv')\n",
    "data.drop(['Unnamed: 0'], axis=1, inplace=True)\n",
    "print(data.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>$\\hat{x}_{i}(t_{1})$</th>\n",
       "      <th>$\\hat{x}_{i}(t_{2})$</th>\n",
       "      <th>$\\hat{x}_{i}(t_{3})$</th>\n",
       "      <th>$\\hat{x}_{-i}(t_{1})$</th>\n",
       "      <th>$\\hat{x}_{-i}(t_{2})$</th>\n",
       "      <th>$\\hat{x}_{-i}(t_{3})$</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.51</td>\n",
       "      <td>0.51</td>\n",
       "      <td>0.51</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.19</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.54</td>\n",
       "      <td>0.58</td>\n",
       "      <td>0.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.60</td>\n",
       "      <td>0.60</td>\n",
       "      <td>0.60</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.61</td>\n",
       "      <td>0.61</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.73</td>\n",
       "      <td>0.72</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.61</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.61</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   $\\hat{x}_{i}(t_{1})$  $\\hat{x}_{i}(t_{2})$  $\\hat{x}_{i}(t_{3})$  \\\n",
       "0                  0.51                  0.51                  0.51   \n",
       "1                  0.19                  0.19                  0.19   \n",
       "2                  0.60                  0.60                  0.60   \n",
       "3                  0.61                  0.61                  0.64   \n",
       "4                  0.73                  0.72                  0.73   \n",
       "\n",
       "   $\\hat{x}_{-i}(t_{1})$  $\\hat{x}_{-i}(t_{2})$  $\\hat{x}_{-i}(t_{3})$  \n",
       "0                   0.41                   0.47                   0.46  \n",
       "1                   0.54                   0.58                   0.58  \n",
       "2                   0.33                   0.31                   0.29  \n",
       "3                   0.41                   0.41                   0.41  \n",
       "4                   0.61                   0.62                   0.61  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Download A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1660927, 1660927)\n"
     ]
    }
   ],
   "source": [
    "A = sprs.load_npz('X_friends.npz')\n",
    "\n",
    "print(A.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Histograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "t_1 = 1\n",
    "t_2 = 2\n",
    "t_3 = 3\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "x_3 = '$\\hat{x}_{i}(t_{' + str(t_3) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "fr_2 = '$\\hat{x}_{-i}(t_{' + str(t_2) + '})$'\n",
    "fr_3 = '$\\hat{x}_{-i}(t_{' + str(t_3) + '})$'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = data[x_3]\n",
    "xlabel_name = x_3\n",
    "limits = (0, 1)\n",
    "yscale = 'norm'\n",
    "density_value = False\n",
    "\n",
    "op_distr(x, xlabel_name, limits, yscale, density_value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = data[fr_3]\n",
    "xlabel_name = fr_3\n",
    "limits = (0, 1)\n",
    "yscale = 'norm'\n",
    "density_value = False\n",
    "\n",
    "op_distr(x, xlabel_name, limits, yscale, density_value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = data[x_2] - data[x_1]\n",
    "xlabel_name = x_2 + '-' + x_1\n",
    "limits = (-1, 1)\n",
    "yscale = 'log'\n",
    "density_value = False\n",
    "\n",
    "op_distr(x, xlabel_name, limits, yscale, density_value)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Vertex Degree Distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "degrees = np.array(A.sum(axis=1)).ravel()  #degrees of vertices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.figure(figsize=(5, 5))\n",
    "plt.rcParams.update({'font.size': 15})\n",
    "pd.DataFrame(degrees, columns=[None]).hist(color='grey', figsize=(8, 5), bins=np.logspace(0, 3.4, 20))\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "#plt.bar(color='grey')\n",
    "plt.xlabel('Number of friends $k$', fontsize = 15)\n",
    "#plt.ylabel('Number of users with $k$ friends', fontsize = 15)\n",
    "plt.savefig('image.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e7765682c6da40a2b5626eca76e3e58b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=655200), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "2.414495426477089\n",
      "0.001747489613827325\n"
     ]
    }
   ],
   "source": [
    "k_min = 15  #the minimum degree for which the power law\n",
    "\n",
    "degrees_k_min = degrees[degrees >= k_min]  #degree of vertices who have greater than or equal to k_min neqighboors\n",
    "\n",
    "N = len(degrees_k_min)  #the number of vertices with degree greater than or equal to k_min\n",
    "\n",
    "\n",
    "sum_value = 0\n",
    "\n",
    "for i in tqdm(degrees_k_min):\n",
    "    term = i / (k_min - 1/2)\n",
    "    sum_value = sum_value + math.log(term)\n",
    "    \n",
    "exp = N / sum_value + 1\n",
    "error = (exp - 1) / math.sqrt(N) \n",
    "\n",
    "print(exp)\n",
    "print(error)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Assortativity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Create an Object Graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Graph = nx.from_scipy_sparse_matrix(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### t1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = 1\n",
    "\n",
    "assortativity(t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.14083826520057569\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t = 2\n",
    "\n",
    "assortativity(t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.14127368384432892\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t = 3\n",
    "\n",
    "assortativity(t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mean Assortativity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dea7a9a7eb36466badd0cb3f560adf61",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=20), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "N = 20\n",
    "threshold_values = np.array(range(N + 1)) / N\n",
    "\n",
    "t_1 = 1\n",
    "t_2 = 2\n",
    "t_3 = 3\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "x_3 = '$\\hat{x}_{i}(t_{' + str(t_3) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "fr_2 = '$\\hat{x}_{-i}(t_{' + str(t_2) + '})$'\n",
    "fr_3 = '$\\hat{x}_{-i}(t_{' + str(t_3) + '})$'\n",
    "\n",
    "results = np.zeros((3, len(threshold_values) - 1))\n",
    "populations = np.zeros((3, len(threshold_values) - 1))\n",
    "\n",
    "list_of_hist_1 = []\n",
    "list_of_hist_2 = []\n",
    "list_of_hist_3 = []\n",
    "\n",
    "for j in tqdm(range(len(threshold_values) - 1)):\n",
    "    \n",
    "    #print('j =', j)\n",
    "    \n",
    "    #First Time Moment\n",
    "    \n",
    "    thresholds_j = (threshold_values[j], threshold_values[j+1])\n",
    "\n",
    "    if j:\n",
    "        cond_self_position = (data[x_1] > thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "    else:\n",
    "        cond_self_position = (data[x_1] >= thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "    \n",
    "    data_sample = data[cond_self_position] \n",
    "    results[0, j] = data_sample[fr_1].mean()\n",
    "    populations[0, j] = data_sample.shape[0]\n",
    "    \n",
    "    list_of_hist_1.append(data_sample[fr_1].to_numpy())\n",
    "    \n",
    "    #Second Time Moment\n",
    "    \n",
    "    if j:\n",
    "        cond_self_position = (data[x_2] > thresholds_j[0]) & (data[x_2] <= thresholds_j[1])\n",
    "    else:\n",
    "        cond_self_position = (data[x_2] >= thresholds_j[0]) & (data[x_2] <= thresholds_j[1])\n",
    "    \n",
    "    data_sample = data[cond_self_position] \n",
    "    results[1, j] = data_sample[fr_2].mean()\n",
    "    populations[1, j] = data_sample.shape[0]\n",
    "    list_of_hist_2.append(data_sample[fr_2].to_numpy())\n",
    "    \n",
    "    #Third Time Moment\n",
    "    \n",
    "    if j:\n",
    "        cond_self_position = (data[x_3] > thresholds_j[0]) & (data[x_3] <= thresholds_j[1])\n",
    "    else:\n",
    "        cond_self_position = (data[x_3] >= thresholds_j[0]) & (data[x_3] <= thresholds_j[1])\n",
    "    \n",
    "    data_sample = data[cond_self_position] \n",
    "    results[2, j] = data_sample[fr_3].mean()\n",
    "    populations[2, j] = data_sample.shape[0]\n",
    "    list_of_hist_3.append(data_sample[fr_3].to_numpy())\n",
    "    \n",
    "    #print('########################')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distributions of friends' average opinions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### k=1, j=1, j=10, j=20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_size = 7\n",
    "labelsize = 15\n",
    "plt.figure(figsize=(fig_size, fig_size))\n",
    "plt.rcParams['xtick.labelsize'] = labelsize\n",
    "plt.rcParams['ytick.labelsize'] = labelsize\n",
    "\n",
    "j=1\n",
    "sns.kdeplot(pd.DataFrame(list_of_hist_1[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "            shade=True, legend=True)\n",
    "j=10\n",
    "sns.kdeplot(pd.DataFrame(list_of_hist_1[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "            shade=True, legend=True)\n",
    "j=20\n",
    "sns.kdeplot(pd.DataFrame(list_of_hist_1[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "            shade=True, legend=True)\n",
    "\n",
    "plt.xlabel(\"$\\hat{p}_{-i}(t_{1})$\", fontsize = 20)\n",
    "\n",
    "#\n",
    "#plt.savefig('image.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_size = 7\n",
    "labelsize = 15\n",
    "plt.figure(figsize=(fig_size, fig_size))\n",
    "plt.rcParams['xtick.labelsize'] = labelsize\n",
    "plt.rcParams['ytick.labelsize'] = labelsize\n",
    "\n",
    "j=1\n",
    "sns.kdeplot(pd.DataFrame(list_of_hist_1[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "            shade=True, color='silver', legend=True)\n",
    "j=10\n",
    "sns.kdeplot(pd.DataFrame(list_of_hist_1[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "            shade=True, color='grey', legend=True)\n",
    "j=20\n",
    "sns.kdeplot(pd.DataFrame(list_of_hist_1[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "            shade=True, color='black', legend=True)\n",
    "\n",
    "plt.xlabel(\"$\\hat{x}_{-i}(t_{1})$\", fontsize = 20)\n",
    "\n",
    "#\n",
    "plt.savefig('image.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### k=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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paNHQVrbR0D6I30BNQabVpZzVwtLAJBvt11bRpqGtbGNfywCALc60y3LSyElzsf24hraKLg1tZRv7WvvJcDspTqCND05HRKgvydaLkSrqNLSVbexrGWB+YWJOX5/JwtIsjnQN0zs8bnUpKoloaCtb8PkN+9sGmW+D/uxJS4KTbN442mNxJSqZaGgrWzjWPczIuM8W/dmT6oqzSHEKW5o0tFX0aGgrW9jfGpi+Pr/QPmfabpeD+pIstjR1W12KSiIa2soW9rX243RIQk9fn8nS8hz2tQwwMKqLR6no0NBWtrCvZYCq/HRSnPb6ll1aloPfwLajOopERYe9fgLUnLWnZYB5Cbyy3+ksLM3C5RA2axeJihINbZXwOgZG6Rwco6bIPv3Zk1JdTuqKM9lyRC9GqujQ0FYJb09LPwB1NgxtCPRr72nuZ3hswupSVBLQ0FYJb7dnAMFeI0emWlqWw4Tf6JR2FRUa2irh7W7upzwvjXS30+pSwrKoNBuHwOYj2q+tIqehrRLenuZ+am16lg2BTREWlmTzcmOX1aWoJKChrRJa19AYbQOj1BZlWV1KRFZV5bKnuZ/uoTGrS1E2p6GtEtru5sBFyNpi+55pA6yqysMArx7Ss20VGQ1tldD2eAKhXWOjNUdmUleUSXaqiw2NnVaXomxOQ1sltD0t/ZTnppHhTtyNfEPhcAgrqnJ5pbELY3TfSBU+DW2V0HZ7+m05qWYm51Tl0jk0dmrxK6XCcdbQFpEPiMjvRaRZRIZEZJuIfDgexam5rWd4nJb+UdtOqpluZWUeAC8f1C4SFb5QzrT/FhgCvgjcDLwEPCEifxPLwpSavAhZY+PhflMVZLqZX5jBy9qvrSIQSkfhe4wxUy95vygiFQTC/LuxKUsp2O3pA6DO5iNHpjqnKo8/7W6lf8RLbnqK1eUoGzrrmfa0wJ70JlAR/XKUestOTz8Vefa/CDnVhTX5TPgN6/e3W12KsqlwL0ReDDRGsxClptt5os/2k2qmqyvOojDTzdN72qwuRdnUrENbRP4CeC/wwBkec5eIbBWRrZ2d2n+nZq99YJSOwTEWJFHXCIBDhAtrCtjQ0MmQrvqnwjCr0BaRGuAJ4EljzE9O9zhjzGPGmNXGmNXFxcURFajmpl3BSTULipPrTBtgTW0B4z4/Lx3osLoUZUMhh7aIFABPA8eAO2JWkVLALk8fDsFWu6+HanFpNnnpKTyjXSQqDCGFtohkAE8BbuAmY8zJmFal5rydnn6qCzJIddlzOdYzcTiE1TX5vHigg5Fxn9XlKJsJZXKNC/g1sBC4zhijf9OpmDLGsPNEX9JMqpnJmtpCRrw+XtQuEjVLoZxpPwzcAHwTKBSRtVNuqbEtT81Fnt4R+ke81CVhf/ak5eU5FGa6+eUbx60uRdlMKANgrwl+fHCG+2qBo1GrRilgZ3BSTTJehJzkcAhXLC7mt9ubOdFzkuqC5Ou7V7ERyuSaGmOMnOZ2NA41qjlml6cfl0Oozk+3upSYeveiEgB+vc1jcSXKTnSVP5Vwdp7oo6YoE5czub89i7NTWVWdy6/eOIHPr8u1qtAk90+Fsh2f37C7uT+pL0JOddXiUtoGRtnQqBckVWg0tFVCaeoa4uS4L6kWiTqT8+fnkZeewuOvHbO6FGUTGtoqoew8EZgJWZdka46cjsvh4C+XlfJSQyd7gkvRKnUmGtoqoezy9JGW4qAyL7kvQk513YoyMlOdPLj+oNWlKBvQ0FYJZaenn9qiTBwOsbqUuMlwu7hueTnP72tnb4uebasz09BWCWN8ws++1oGkW441FNevKCPT7eS76w9ZXYpKcBraKmE0tg8yPuFPuuVYQ5GZ6uLaFWU8s7eNN4/3Wl2OSmAa2iphJPNyrKG4aWUFBZlu/vG3e5jw+a0uRyUoDW2VMHZ5+shKdVGSPTeXtEl3O/nY2vnsax3g8c06BFDNTENbJYydnj5qizIRmTsXIae7qLaAc6py+dfnGmgfGLW6HJWANLRVQhj1+mhsG5qT/dlTiQifuKSW8Qk/33hyD8bo9Hb1dhraKiHsbu7HZ8yc7c+eqiw3jdsuqObZve08tavV6nJUgtHQVglhcsTEwtJsiytJDDeuLKe+JIuvP7mHrqExq8tRCURDWyWEN4/3UZqTSm56itWlJASnQ/jry+sYGp3g7if3Wl2OSiAa2spyxhi2HeulXrtG3qYqP4P3n1/FH3e36s7t6hQNbWW51v5ROgbHqC/RrpHpblpVTmVeOl9/cg+jXt0EWGloqwSw/VR/tp5pT+dyOvhfl9bg6R3h4Zd0irvS0FYJ4M3jfbidDubrPokzWl6Ry6X1RTyy4TBNXcNWl6MspqGtLPfm8V7qipN/e7FIfPSieTgdwr8+12B1Kcpi+lOiLDU24WN3cz/1Jdo1ciZ5GW6uX1HOH3e16mYJc5yGtrLUvpYBvD7DQr0IeVY3rSonO9XF/c/q2fZcpqGtLLX9eB+AnmmHIMPt4j3nVLChsZMtR7qtLkdZRENbWeqNph5KslMpyHRbXYotXLO8lIJMN995vtHqUpRFNLSVZYwxbGnqZkmZdo2EKtXl5MaV5Wxp6mHbMd0sYS7S0FaWOdw5RO9JL0vKc6wuxVauWlJCdqqL7284bHUpygIa2soyW5p6AFhapqE9G2kpTq5ZXsrz+9ppbB+0uhwVZxrayjJbjvSQn5FCac7c3KkmEtcuLyPV5dCz7TlIQ1tZ4q3+7Jw5vVNNuLLTUrhqSQlPvtlCc9+I1eWoONLQVpY40TNC+8AYS8v1ImS4rl9RjsHw001HrS5FxZGGtrLElqbAOOMl2p8dtuLsVC6qLeSJLccZHPVaXY6KEw1tZYnXm3rITnNRmZ9udSm2duOqcobGJvjVVo/Vpag40dBWlnjtSDeLS7NxaH92RBYUZ7GkLJsfvdrEhM9vdTkqDjS0Vdwd6x7G0zvCispcq0tJCjesLKe5b4Rn9rZZXYqKg5BCW0TqReRREdklIj4R+XOM61JJ7OWDXQCsqtLQjoYL5uVTlpPGD14+gjHG6nJUjIV6pr0cuAFoAHTRAxWRlxs7KclOpSwnzepSkoLDIVy/soydnn6d2j4HhBrafzDGVBtjPgDo1tAqbF6fn02Hu1hZmavjs6Po8oXFZKW6+MErR6wuRcVYSKFtjNErHCoq3jzex/CYj1VVeVaXklTSUpxcvbSE5/a2c6xbtyRLZnohUsXVKwc7cQgsr9Dx2dF2zfIynA7hR682WV2KiiENbRVXLzd2Ul+SRWaqy+pSkk5+hptL64v41VYP3UNjVpejYiQmoS0id4nIVhHZ2tnZGYu3UDbUOzzOLk8/Kyu1ayRW3nNOBaNeHz/aqGfbySomoW2MecwYs9oYs7q4uDgWb6Fs6OWDnRh0qF8sVeals6a2gJ9uOkb/iE5tT0baPaLi5rm97eSlp+h+kDH23vMqGRqb4Ge6kFRS0tBWcTHq9fFSQwcXzM/XqesxVlOYyfnz8lj3ahPDYxNWl6OiLNQZkRkicpuI3AZUAsWTn4tIRmxLVMlg0+EuTo77WF2Tb3Upc8Kt51XSP+Jl3Svat51sQr2EXwL8etqxyc9rgaPRKkglp+f2tpOe4mR5hfZnx0N9STZragv4/obD3L6mmlKdfZo0Qp1cc9QYI6e5HY1xjcrmfH7Dc/vaObc6jxSn9sjFy0fWzMPr8/PAcw1Wl6KiSH+CVMxtP95Lz/A4F2rXSFyV5qRx7fIyfr3Vw96WfqvLUVGioa1i7tk9bbgcwjnVOj473t57XiWZqS6+/rs9ut52ktDQVjHl8xt+v7OFVVW5ZLh1FmS8ZaW6+MQlNWw/3sd3XzxkdTkqCjS0VUy9dribjsExLluok6yscml9EZfVF/HdFw+y9WiP1eWoCGloq5j6zXYPmW4n58/T/mwrfeLSGoqzU/nCf71Jx8Co1eWoCGhoq5g5OT7B03vbuKiuELdLv9WslOF28TdXLaTn5Dgf/sFmOgd1QSm70p8kFTPP7m1jZNzHZfVFVpeiCGwC/JVrl+DpHeEjP9hMl64EaEsa2ipm/mdbMyXZqSwqy7a6FBW0tDyHL12zmOM9J7nloY3sadahgHajoa1iwtN7kk2Hu3hXfZGuNZJgVlTm8vWbljHq9fH+Rzbx2zc9VpekZkFDW8XEz147BsBVS0osrkTNZEFxFv9060oWFGfyxV/u5L4/7MOr47htQUNbRd3w2AS/eP04a2oLKMxKtbocdRq56Sl87YalXLeijB9tbOKj67bQOzxudVnqLDS0VdT9ZruHgdEJrl9RbnUp6ixcDgcfv7iGz717AduP93Lb9zfR0jdidVnqDDS0VVT5/YYfbTzKguJMFupmB7Zx2cJivnr9Ulr7R3nfw5s41DFodUnqNDS0VVRtaOykqWuY61eUI3oB0laWleecukD5wUc3s791wOqS1Aw0tFXU+P2GB55voCjLzUW1BVaXo8JQU5jJN96zDIAP/2Czrg6YgDS0VdQ8tbuVPc0DfOCCaly6brZtleem842bluFyCB9+bDOvN+l6JYlEf7JUVIxP+Ln/2QPML8jgXToD0vZKc9L4xk3LyEp18dF1W3hqV4vVJakgDW0VFU9sOcaJnhFuXzMPh0P7spNBcXYa99y8nNqiTD7/xJt866l9DI56rS5rztMFjlXE2vpH+bcXDrK8IodzqnQPyGSSnZbCP9ywlJ+9dpQfvtrEkzta+Oy7F3DxgkIWlQaWJxgY8eLpHeFI1xDtA6M4RHA5hPPm5bOqKlcvSEeZhraKiN9v+NKvdzLq9fHJS2v1BzQJuV0OPnVZHVcuKeEnm45y31P7AEhxCl6fOeNzq/LS+dCF1dx1RR2pLmc8yk16GtoqIj977SivHurizktrKc9Lt7ocFUMLirO47+bldAyO0dg+yPGek6S6HGSmuijMTKU8N43CLDcAo14/uzx9vHakmweeb+TJnS3cf9sqztN11SMmxpz5N2WkVq9ebbZu3RrT91DW2NPcz/sf2cTS8hy+cu1iPctWM9pxopd1rzTRe3Kcu9+znI9fUmN1SbYgItuMMaunH9cLkSosx7tP8okfv05Wqou7Lq/TwFandW51Pv9y2yrOn5fP3b/fy7ee2offH9uTxWSmoa1mrXNwjI/+cAtjXj9fu34p+Rluq0tSCS7D7eKLVy/iuuVlrHu1ic89sZ1Rr8/qsmxJQ1vNytGuYT706Gu0DYzy5WsXU5mv/dgqNA6H8PFLavjY2vk8u6eNj/xgM926e86saWirkG050s0t39tIx+AYX71uCQtLdUcaNXs3rCzn/169iD3NA9z68CaauoatLslWNLTVWY1P+PnO843csW4LmW4n37xlBUvLc6wuS9nYmtoC/vHGpfSdHOfWhzey7ZhOlQ+VhrY6o23Herjle6/yH+sPsraukHtvWUFZbprVZakksKg0m3tvXkF6ipMPP7aFX71xgliPZksGOuRPzWhfywAPPN/A+v0d5GekcOe7alk9X1fuU9E3MOrlP9YfZG/LADesLOOfb11Jnl7cPu2QP51co045OT7B+v0d/Oy1o7xxtJdMt5MPXVjNdcvLSEvR2WwqNnLSUviH65fy1K4WfrXNw+tNPXzl2iXcdkGVrmMzAz3TnuNa+0dYv7+D9fvb2Xi4m/EJPyXZqfzlslLevbiErFT9va7ip6lrmJ9saqKxfYgVlTl84aqFXL20dE6G9+nOtDW05xhjDHuaB3h+fzvr97eztyWwO0lpTirnzcvngnn5LCvPmZM/JCoxGGPYdLibX249QefgGLVFmdxx0TxuWFlOxRxaKkFDew6bDOqndrXw1K4WmvtGcQgsLM3m/Oo8zp+fT2Veus5qVAnF5zdsaermT7tbOdwZGBa4sjKXVVW5LK/IpTQnlbyMFDJTXbgcDtxOBy6nkOJ0kJPusv0CVRrac4wxhgNtgzy1q4U/7GzleM9JnA5hZWUua+sKOG9ePjlpKVaXqVRIWvtG2NLUw+7mfo51DzM8fvbZlHkZKVTkplNfksWi0ixWVuVxbnUeuen2+L7X0J4DjDHsax3g2T1tPLW7lSOdwzgEllfkcnFdIRfWFJCVpn3Uyt6MMXQNjTMw6mVodIJRr48Jv8HnN0z4DXXEHnQAAAybSURBVBN+P0OjE/Se9NI1NEZz3widg2/NvFxcms0Vi4u5YlExF9UWJOzWeBGFtogsA74LXAz0AeuAe40xZ/11p6EdW36/YYenj2f2tPH0nlZO9IzgEFhSlsPaukIuqi0gxyZnFkrFysnxCY50DtPYPsi+1gEa2gaZ8BsKMt3cuLKcW8+v5LzqvITqIgx7yJ+I5AMvAPuAW4AFwAMEJub8vyjXqc7CGENT1zAbD3ez6VAXmw530z/ixeUQllfmcN3yclbPz9egVmqKDLeLFZW5rKjM5X3AqNfHbk8/m4508cs3TvD45mPUF2fxwQuruPW8KoqzU60u+bTOeqYtIl8DvgLMN8YMBI99BbgHKJs8djp6pv124xN+Bke9jHh9TP7XGwN+YzAELr74TeBPPZ/f0DM8TvvAKMe6T3KgbYDdzf20DwT+1CvKcrO8IvCNeF51Hpk6PE+pWTs5PsHmIz1saOygsX0Il0O4ckkJH1xdzZWLiy3rPgm7e0REXgZajDG3Tzk2DzgG3GyM+cOZnh/v0Pb5DV1DY7T1j9I2MEr7wOipf7f1j9I5OIbPGJwiiBDYz84pZKS4SHM7yUhxkuF2zvhvl9OBMQa/4a2PBP497vMzPDbB0OgEg8GPw+MTDI5O3rwMjk4wNuEPq10OgYq8dKoLMlhals2KylzKctIS6s85peyuuXeEPzd28OqhLvpOeinKCnSfXFpfxNoFhXG9eB9JaHcADxtj7pl2fBi4xxhz/5meH25oH2wfpGd4HN+Us06f33By3Pe2EBwY9dIxMPaOUJ7K6RDy0lMoyHSTl5GCQ+RU2PpNIOjHJ/yM+/yMeX2MTfgZn/AzOuFjzOsn1Eu1Dgn8GZbudpKe4iAtxUl6ipO0FCeZqS4y3IHPM1NduF0OBAhkriAElq4UAr9IHA5wIGSnucjPdJOf4cbtSswLJkolmwm/nx0n+ni5sZOdnn7GgydbVfnpLC7Npio/nZKcNPIz3KSlOEh1OUl1BX7mXU7BETwpXFGRS7o7vKGHkUxjzydw8XG63uB9MfHPf9rPSw2dZ3yMQyAr1UVhVipFWW7Om5dHUVYqxVmpFGUHP2a5yc904wjzjNSYQKCPeH34/ObUF0NEToWuBHefTnU59MxXqSQxvyCTW86pZHzCz77WfnZ5+mnqGqape5gtTT0MjU2c9TVe+NsrqC/JimpdMekEFZG7gLuCnw6JSEMs3idERUCXhe8fS8ncNtD22V0yty+kti38dkTvMX+mg6GEdi+QO8Px/OB972CMeQx4LOTSYkhEts70J0YySOa2gbbP7pK5fVa2LZRO0gPAkqkHRKQayAjep5RSKk5CCe2ngWtFZOreUh8CRoANMalKKaXUjEIJ7e8DY8BvROTqYH/1PcB3zjZGO0EkRDdNjCRz20DbZ3fJ3D7L2jabaewP8fZp7PeEMo1dKaVU9MR8wSillFLRY9vZGiKyTETWi8hJEWkRkftE5Kyj2EUkV0R+LCK9ItIvIj8XkcJ41ByqcNomIhcG23Uo+LwGEblbRBJuF95wv3ZTnu8Qka0iYkTkpljWGo5I2ici7xORN0RkRES6ReQZEcmMdc2zEcHP3moReU5EeoK3F0TkonjUHCoRqReRR0Vkl4j4ROTPIT4vbrliy8UqIlzE6lfAIuBTgB/4NvA74LJY1TsbEbTtQ8HHfhs4CKwCvhn8+P4YljwrUVqA7FNAVUwKjFAk7RORTxHohvwX4MsEhtVeRQL9nIbbvuCIsxeA7cDHgoe/DDwvIiuNMcdiWfcsLAduADYDs5mzHr9cMcbY7gZ8jcAY8Zwpx74CnJx6bIbnXUxguZDLpxxbEzx2tdXtirBtRTMcuyvYtvlWtyvS9k15bD7QCXwy2LabrG5TtL5+wCDwaavbEKP2fQbwAbnTvpY+4LNWt2tKTY4p//5v4M8hPCeuuWLX7pHrgWfN20ev/AJIB644y/PajTEvTx4wxrwONAXvSwRhtc0YM9PsrDeDHyuiV17Ewv3aTfomsBFYH4PaoiHc9n0w+PGnsSosSsJtXwowAQxPOTYUPJYwaz8YY8JZ0S2uuWLX0F7CtIk9xpjjBH7bL5nxGad5XtD+szwvnsJt20wuJvCn2uHolBYVYbdPRFYBdwJfill1kQu3fRcBDcAnRcQjIl4R2SIil8Su1LCE277/CT7mAREpEZES4N8InLX/Oka1xktcc8WuoR3uIlaWLH41S1GpUUTKCPQxPm6M6YhSbdEQSfu+CzxkjDkU9aqiJ9z2lQGLCXzN/h54D4Gz0mdEpDTaRUYgrPYZY1qAKwlcX2kP3t4HXGuMOfPKcIkvrrli19BWZyAibgIXRoaAL1pcTlSIyO0EQu1bVtcSIwJkAZ80xvzcGPMM8F4Cfb6ft7SyKBCRcgJn1NsIdBlcH/z3H4Pr86sQ2TW0Z72IVYTPi6eIapTA2rA/I3gV3BiTKO2aNOv2iUgKcD+BK/IOEckDcoJ3Z05bYsFqkXxvGuDPkweC/cbbgGVRrC9S4bbvywT6tW8zxjwT/KX0fgK/lBK5uysUcc0Vu4Z2uItYveN5Qafrk7JCpAt0/TuBoVi3GGMSpU1ThdO+TAJD/L5D4IegF9gZvO8XvHXBNRGE+/XbT+Bse/pFOSFwXSJRhNu+JcBeY4x38oAxZhzYS2DYoJ3FNVfsGtrhLmL1NFAmIu+aPCAiq4G64H2JIOwFuiSwn+fngY8aY16NXYkRCad9QwT6Q6fePhy87x+AO2JTaljC/fo9Ffx45eQBEckFLuCtX1CJINz2HQNWBLvuABCRVGAFcDQGdcZTfHPF6nGRYY6lzAdageeBqwmMRx4CvjXtcYeAH0479ixwhMBFkPcSuGL/itVtirRtwEcI/Hn9Y2DttFux1e2Kxtdu2v01JOY47Ui+N38XfO7HgRsJhGAnkG91u6Lw/XkB4AX+GGzbTQQCzQucY3W7ptSZAdwWvL1G4C+Byc8zzvC1i1uuWP6fFMF/7jLgRQK/4VsJjN91TnvMUeAn047lBYOtDxgAnmCGiSl2axvwk2CIzXT7hNVtisbXbtr9CRnaEX5vZgGPAN3B574ArLS6PVFs318ALwM9wdsG4N1Wt+c031cz3WrO0La45YouGKWUUjZi1z5tpZSakzS0lVLKRjS0lVLKRjS0lVLKRjS0lVLKRjS0lVLKRjS0lVLKRjS0le0E9/AbEZEaq2tRKt40tJWtBNd0uJbAPor/bnE5SsWdhrayjeCysw8RWO/iXqBIRK6N9DVFZIeIfHza8UUics/UBY7O8joPicgPI6lFqVDoNHY1p4nIhwis1b3ATFk2VET+D/CPxpiSEF+nhsAynCtMYu+so2xOz7TVXPcFAluyeacdXwXsCfVFjDFHgVeBz0avNKXeSUNb2YKIXCEiRkRumHKsVkQ6ROQ/wnzNeuAS4L+nHe8gsIHwlcH3NCJyVQgv+T/AHSKiP1cqZrR7RNmGiLwIpBpjLg1uELAJaCKwS48vjNf7a+ABIMcY4w8eEwI7o78UvG9yc4IdxpjRs7zeOcAO4FxjTCJtXKCSiJ4RKDu5G7hERK4hsHGxF7g9nMAOugDYPxnYACZwFtMGpAFPGWM2B29nDOygvQT2PFwTZj1KnZXL6gKUCpUx5hUReQH4LYHF5i8yxgxF8JJlQNcMx1cRWPR+9yzrmxCRvuDrKhUTeqat7OYQgS2h7jbGeGb7ZBFZIiLrgp+mAWMzPGwVcMQYMzztuY+ISLOInKlPcSz4ukrFhIa2sg0RuYvABcKdwCfDeQ1jzAFjzKeCn/YQ2CZqulXMvJnufwHnn+Ut8oKvq1RMaGgrWxCRvwS+B3wa+AywVkSuD+N1vi8itwc/bQBqZ3jYEgJjrt/GGPOyMab9DK9dTOCvgMbZ1qVUqDS0VcITkeXAr4FvG2N+ZozZTGDT23vCeLlzCYzwANgIzAuG7VQDwOUicrmIrA2OKAnFagJ94ZvCqEupkGhoq4QmIiUEht09B3x9yl3fBNaIyI1THrtdRLpmuP08eL8DqOOtM+E/E+jKuG7a234VKADWA78zoY+LvQ7YYIzpnlUjlZoFHaet5gwRWQL8xBizdsqxB4F6Y8yNp3/mO17HGGNk2jEncAz4qjHmP6NVs1LT6Zm2mkumdo1Mup/AzMdFEb72B4AR4BcRvo5SZ6ShreaSd4R2cNjgnUD52Z4sIutExBP8t2fK0EEAAT5pjJmIYr1KvYN2jyillI3ombZSStmIhrZSStmIhrZSStmIhrZSStmIhrZSStmIhrZSStmIhrZSStmIhrZSStmIhrZSStnI/wc1ggENBc5/NwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for j in range(1, len(list_of_hist_1)+1):\n",
    "    sns.kdeplot(pd.DataFrame(list_of_hist_1[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "                shade=True, legend=True) \n",
    "    plt.xlabel(\"$\\hat{x}_{-i}(t_{1})$\", fontsize = 15)\n",
    "    plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### k=2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/ejJSuYeGtnKdjn5np/slFRUEKC/M09BWrqKhrVxlaHyKofEpx09CJlkLR+nwiHIPDW3lKp0ume6X1FBWyL6eMMbo1mPKHTS0lat0nNjM1/nhEbBmkAyNTzEwOul0KUoBGtrKZdxyYU3SiV1sdIhEuYSGtnKVzv4xygvzCOb5nS4FgIay5LQ/PRmp3EFDW7lKe/8otS4ZGgGoLi4g3+/TGSTKNTS0latY0/3cMTQC4PNZW4/t0yValUtoaCvXiEzF6B6OuOLCmukaywvZ0z3idBlKARraykW6BscwuGfmSFJLZYjDxyMMjevWY8p5c4a2iNwoIi+ISL+IRESkTUT+VkScXc1HLTpumzmS1FIZAqDtmPa2lfNS6WlXAU8AtwDXAN8Hvgh808a6VA5KhnadS0N797FhhytRCgJzPcAY870Zh54UkVLgT0Xk00YvFVNZ0jkwRmGen5LgnD+WC6qyKJ/iggC7jmpPWzkv3THtfkCHR1RWtfePsqTUuR3YT0VEaKkMsfuo9rSV81IObRHxi0hIRC4HbgP+VXvZKps6+sdcN3MkqaUyxO7uEeJx/ZFXzppPT3s0cXsWeBr4/KkeKCKbRGSziGzu7e3NsESVC2Jx53dgP52WyhDjkzEODeouNspZ8wntS4ErgL8A3g/ceaoHGmPuMsZsNMZsrKmpybBElQuOHB8nGjcsKXNpT7vKOhmp49rKaSmHtjFmqzHmOWPMN7GGRz4pIivsK03lkn2Jy8QbE7vFuE1TRSGCziBRzkv3ROTWxMdl2SpE5bb9icvEGyrcGdoFAT/1ZUF2a09bOSzd0L4s8fFgtgpRuW1fT5jSYIDSYJ7TpZxSc2WInTqDRDlszgmxIvIo8DjwBhDDCuy/AH5kjNlvb3kqV+zrCZ9Yu9qtWipDvHRwgNGJKEUF7ppLrnJHKj95rwAfB1qBKHAA+Gvgu7ZVpXKKMYa9PWE2Lq1wupTTaq0qAmDH4SEuWl7lcDUqV6VyReTfAX+3ALWoHNU/OsnQ+JTre9qrlhQDsLljUENbOUZX+VOOS65V3ejy0C4J5tFYUcjm9gGnS1E5TENbOe5EaLt05sh0Zy4pYUvHoF4ZqRyjoa0ct68nTDDPR2WR+5ezOWNJCcOR6Il55UotNA1t5bj9vWHqywrxuWyhqNmsrisB4BUdIlEO0dBWjvPCdL+k2pICygvz2NI+6HQpKkdpaCtHjU5EOToUcf1JyCQR4Yy6El7WnrZyiIa2ctT+Xm/MHJnuzCUldA2O0z0ccboUlYM0tJWjvDLdb7ozlljj2pt1iEQ5QENbOWpvTxi/T1y3A/vptFaHKAj49GSkcoSGtnJU27ERGsqDBPze+VEM+HysWlKsoa0c4Z3fFLUo7T46THNFyOky5m11XSk7jwwzND7ldCkqx2hoK8eMRKY4MhTxZGifVVeCAbZ0aG9bLSwNbeWYPd3WhgLNld4L7ZW1JQR8wksHNbTVwtLQVo7ZfcwK7ZZK78wcScoP+FhRU8zLBzS01cLS0FaOaTs2QmGej+pi78wcme6s+hJePzzE2GTU6VJUDtHQVo5pOzZCU0UI8cCaI7NZXVdKNG7Y2nHc6VJUDtHQVo4wxrD72Ignx7OTzlhSgk/g5YP9TpeicoiGtnJEz8gEQ+NTnpw5klSY76e1ukhPRqoFpaGtHOHlk5DTra4r5dXO40xEY06XonKEhrZyxJ5EaDd5eHgErPnak7E427uGnC5F5QgNbeWI3cdGqAjlURrMc7qUjKyuKwXgpQM6rq0WxpyhLSIfEpH/FpHDIhIWkS0i8tGFKE4tXruPDdPk4fHspOJggJbKkI5rqwWTSk/7s0AY+AzwPuBJ4AER+bSdhanFayoWZ293mBaPD40kra4rYXP7INFY3OlSVA4IpPCY640xfdM+f0JEGrDC/Nv2lKUWs309YSZjcZZVFzldSlasrivlVzu7eePIMBuay50uRy1yc/a0ZwR20qtAQ/bLUblgx2HrpF3rYgntemtThJd1iEQtgHRPRF4C7MlmISp3vHFkmGCej/rSoNOlZEVFKJ/6siAv6UU2agGkMjxyEhF5B/AB4BPZL0flgh2Hh1haWYTP583L12ezuq6Ulw8OEI+bRdUu5T7z6mmLSCvwAPBzY8y9p3ncJhHZLCKbe3t7MypQLS7xuOGNo8MsrVocJyGTzqovYTgSpS2x3KxSdkk5tEWkEngE6AA+drrHGmPuMsZsNMZsrKmpybBEtZgc7B9lfDK2aE5CJp1Vb83Xfm7vbKeAlMqelEJbRELAw0A+cJ0xZszWqtSilTwJudhCu7q4gObKQp7Y3eN0KWqRS+XimgDwILAKeI8xRn8qVdreODJMwCc0Vnh7zZHZnNtcwSvtA7pvpLJVKj3tfwGuBe4AqkTk4mk3b65erxzzxuEhWipDBHyLbwWF81oqiMYNz+7V8zjKPqnMHnlX4uM/z3LfMqA9a9WoRc0Yw+tHhti4tNLpUmyxqraY4oIAT+zq4br1ehmDssecoW2MaV2AOlQO6BocZ3g8SmvV4hrPTvL5hHOay3myrYdY3ODXqX/KBovvPapyrcV6EnK681rKGRyb4rVDugWZsoeGtlowrx06TsAni26O9nTrm8rxCTyxu9vpUtQipaGtFsyrh47TWhUiz794f+yKCgLWAlJvaGgreyze3x7lKtFYnNe7hlhRW+J0Kba7oLWSvT1h9veGnS5FLUIa2mpB7OkOMz4VY0XN4h3PTrqgtQKAR3ccc7gStRhpaKsFsa3LOjG3srbY4UrsV1VcwMraYh7ZcdTpUtQipKGtFsRrnccpKQhQt0iWY53Lha2V7Dg8TNegrvigsktDWy2IVw8NsrymCJHcmLt84TLrAiIdIlHZpqGtbBeeiLK3O8yKHBgaSVpSGmRpVUhDW2Wdhray3etdQxhgZU3uhDZYs0i2dAxybCjidClqEdHQVrZLXh2YSz1tgMtXVmOAH2855HQpahHR0Fa229IxSF1pAaXBPKdLWVBLSoOsayzlP14+RDxunC5HLRIa2spWU7E4Lx7oY21DmdOlOOLtZy7h8PFxnt2nO9qo7NDQVrZ6tfM4oxMxzm7KzdC+oLWC0sIA//FSp9OlqEVCQ1vZ6pk9vfgE1uVoTzvg93Hlqhoe39VNz7CekFSZ09BWtnp6Ty8ra4spKkhlv43F6e1n1hKNG370ip6QVJnT0Fa2GRidZMfhIdY3lTtdiqPqywvZ0FzGvS+0E5mKOV2O8jgNbWWbZ/f2YoANOTqePd37NjTSPzrJg1u6nC5FeZyGtrLNM3v6KCkIsLw6t+Znz+asuhJW1Rbzvaf3E43FnS5HeZiGtrKFMYZn9vaytrEUn+6ViIjwvg0NdA2O84vXdfU/lT4NbWWLrZ3H6R2Z4JzmCqdLcY3zllbQWFHId57cpxfbqLSlFNoislJEvici20UkJiJP2VyX8rifvdpFQcDHha2VTpfiGj4RfvecRvZ0h/n5tsNOl6M8KtWe9lrgWqAN2GNfOWoxmIzGeWjbUc5fWkFhvt/pclzlkhVVLKsu4uuPtulMEpWWVEP7IWNMszHmQ8AbdhakvO/Jth6Gxqe4YlW106W4jk+E37uwhSNDEe57scPpcpQHpRTaxhg93a1S9tOtXZQX5nF2Y27Pzz6VdY1lbGgq484n9zE0NuV0Ocpj9ESkyqrjY5P8ZlcPl6yowq+zRk7poxe2MDw+xb88tc/pUpTHaGirrHpo+1GiccMVq2qcLsXVllYVcfmqan7wfDuHj487XY7yEFtCW0Q2ichmEdnc29trx5dQLmSM4b4X22mtCtFaFXK6HNf78MZmDIZv/KrN6VKUh9gS2saYu4wxG40xG2tqtMeVK14+OMCe7jDvWlOXMxv4ZqK6uIB3r63jZ1sPs/PIsNPlKI/Q4RGVNf/+2w6KCwJcurLK6VI84/3nNFJUEOAffrkTY/SCGzU3DW2VFd3DER7bcYwrz6ihIKBzs1NVXBDgg+c18fy+ft25XaUk1SsiQyJyo4jcCDQCNcnPRUQHLxUPvNRJNG5451lLnC7Fc965ZglLK0Pc/vBOxiajTpejXC7VnnYt8GDidjGwZtrntfaUprxiIhrjgZc62dBcRl1Z0OlyPMfvEz5+WStHhyJ850mdAqhOL9WLa9qNMXKKW7vNNSqX+/lrR+gNT3DtunqnS/Gs1XWlXLGymu89fYBdR/WkpDo1HdNWGTHGcNczB1haGeLsRt3sIBO/f/FSSoIB/uyBrTpMok5JQ1tl5Kk9vezrCfPe9fU6zS9DpYV5fOrqlRzoHeWOh3c6XY5yKQ1tlZH/+8wBKovyuWS5TvPLhnWNZVy/oYH/ePkQD27WjYDVW2loq7Rt7Rzkhf39vGdtHQG//ihly4c2NrG2oZS//PF2fvRKp9PlKJfR3zSVlqlYnC/+7HUqi/J5x1k6gSibAj4fn3/3mWxoLuMLP3mdHzx/0OmSlItoaKu0fP+5g+w6OsIfXdJKKD/gdDmLTkHAz2ffeSYXtFbwlYd26lRAdYKGtpq3QwNj/OPjezh/aQUXtOoekHbJ8/v483ecweUrq/n6Y218/bHdeqm7QrtIal7iccNf/XQ7AvyPS1t1xojN/D7hk1etID/g4ztP7iccifKl69fqDvc5TENbzcu9L7Tz/L5+br58GVXFBU6XkxN8PuGWy5dRmOfn317sYGh8iq9/aAN5evI3J2loq5S1HRvhfz+ym/NaynnHaj35uJBEhI9d1EJxMMCPXjlEb3iCb910rv7hzEH6p1qlZGwyyp//8FUK8/1sunKFDos4QET4wDmN/MmVy3n54ADXfutZXmkfcLostcA0tNWcJqNxbr1vC3u6R7j1quWUFeY5XVJOu/rMWm5//zoE4abv/Zb7X9Jd3XOJhrY6rXjc8LkHt/HM3j5uuXw55zTrbBE3aK0q4h9+dx3rm8r44s92cPtDO4nFdWZJLtDQVqc0ND7FJ+/fwn9vO8JHL2jmbTqO7Sqh/ACfe9eZXLOuju8/f5APfOd5NutwyaKnJyLVrLYdOs6fPbCVI0MR/uDipVyzrs7pktQsfD7hDy9pZWVtMfe/1MmN332Rd65ZwgfPa+TqM2sJ5ukuQouNhrY6iTGGf3uhnb//5S7KC/P4n9et4YwlJU6XpeZw6Ypqzmup4OHtR3h8Vw+/3tlNUYGfmy9bxqarVlBcoL/qi4XYfYXVxo0bzebNm239Gio7hiNT/OWPt/PojmOc11LOJ69aSXFQf9m9JhY37Dw6zG92dfPSwQEqi/K55YplfPC8JpaU6s5CXiEiW4wxG99yXENbAbzeNcSn7t/CkaEIN13QzHvP1vWxF4P9vWF++HInO44M4xO4bGU1Fy+v4ryWCs5fWkF+QE9rudWpQlu7UTkuMhXj+88f5B9/vYcyHQ5ZdFbUFPPF967h6PFxntnby+aOQZ7d2wdAZVE+N57fxIc3NrOyttjhSlWqtKedoyJTMX6x/Sjf+FUbR4YiXNBawR9fsZySoM7BXuzCkSi7jg3z7N5etnYeJxY3XNBawU0XtHDt2fUU5uvJSzfQ4RFFz0iELe2DPNXWyy9eP0p4Isqy6iJ+78IW1un+jjnp+Ngkz+zt46m2Ho4ORSguCPCBcxu46QL9mXCahnaOiUzFeOPIEK8dGmLboeO8emiQQwPjABTm+bhwWRWXraxmbUMpPh27znnGGHYfG+GJ3T28fHCAyVicdQ2l3HBeE+e2lLO6rlR74Asso9AWkTXAt4FLgOPA3cBXjDGxuZ6rob0wuocjPLu3j62dg2w7dJzdR0eIJb631cX5LK8pZlVtMavrSmitKtLtwdQphSeivLCvjyfaeujoHwPAJ7C8upi1jaWcVV/KqtpiVtQUU1taoJtg2CTtE5EiUgE8DuwE3g+sAL6BdTXl32a5TpWiyFSMrR2DPL2nl6faemnrHgGgKN/P8ppirt/QwIraIlbUFFMRyne4WuUlxQUB3rW2jneuWUJfeIL2vjHaB0Zp7xvjub19/Py1Iyc9vjDPT1VxPtXFBdSWFNBaXURrVRGt1SGWVRexpCR4Yv3vaCxOeCJKNG7wiRDM82noz1Mq/1u3AoXADcaYYeDXIlIKfFlEvpY4ptIUixtGJ6OMTovjeO0AAAynSURBVCRvMUYno0SmYoxPxq2PUzGGI1P0DE9wbCjCnp4ROvrGiBlDwCecWVfCRy9sYUNTGc2VIR3uUFkhItSUBKkpCXLBssoTx8MTUY4cH+fo0DhDY1MMjU8xFIkyPD7FzqPDPNnWw1Ts5HfwAZ/g9wkT0fhbvk5lUT4tlaGTbk2VhbRUhqgvK8SvGz6cZM7hERF5BjhijLlp2rEWoAN4nzHmodM9P1vDI7G44ZX2AV7c38/m9gG6RyZY21DK2Y1lrG8qZ21DKUVZuuprfDLGwNgkg6OTDI1Pkef3Ecr3k+f3YTDE4oZwJEp4IkosbhARBBBJ3BBEYCpmGJ+KMT4ZZWwyxthkjN6RCY4OjXP0eISjwxH6RiZI9axCKN9PRSif+rIgzZUhVtQUs7ahVC9VVq4SN4b+8CTHhiMcGxpnaHyKaNz6vQnm+Qnl+/H7hHgcIlHrd6JnJELvyAS9IxNMX/cq4BcaywsJ5fuJxc2J14nFDSXBAJVF+VSE8qksyqe8MI9gvp+CgJ+CgM+65b3572Di36H8AGWFeZQWBijM87v2eoRM5mmvBp6YfsAY0ykiY4n7Thva6drXM0J73xjHhiPs7R7hlzuO0TsygU+gpTJERSj/pLdqAlQU5eMXwecj8dEK0+TPQPLvU3FBgLJQHgUBHyJCLB5ncHSKwURQR2bpDWRL8q1kZSifdQ2lVITyCeUHCOb7KMzzE0zcCgI+8v0+8gPWLXmfUm7nE6GmpICakgLOnucMlFjc0B+eoGdkgu6RCD3DVqBPxcxJv9sicqITdLB3lJFIlJGJ6LxrDfiF0mBeIsQTH4OBkz4P5fvxiRDwWZmSfNfg9wl+mfbvGccDfmFNfVnWT+CmEtoVWCcfZxpM3GeLOx7exdN7egHI9/u4eHklf3r1Si5aVnlSj7o/PMGe7hHaukfoD08SN4aYsZYUjU97FyEAIhhjGJ+MMTIRJRyxvsk+gfJQHkurQpQlvlHJW0kwj1g8zthk7MTSlz4Rigr8FOYHrLduBgzG6iEYgwHiBvL8QjDP/2YYJ/7yK6VOraUylNbz4sYwFYszGU3cZvt3zPpdHolECUemTuTASGJ4sj88QXvfKCORKUYi1th7Jh7/7JWsrM3uxWq2nAEQkU3ApsSnYRFpy/Q19wL3vflpNdCX6Wt6RK60NVfaCbnT1lxpJ5yirau+mtFrLp3tYCqhPQjM9h6nInHfWxhj7gLuSrm0eRKRzbON9SxGudLWXGkn5E5bc6WdsLBtTWWy7m6ssesTRKQZCCXuU0optUBSCe1HgHeLyPSBmY8A48DTtlSllFJqVqmE9neBCeCnIvI7ifHqLwPfdHCOtm1DLy6UK23NlXZC7rQ1V9oJC9jW+VzGficnX8b+5VQuY1dKKZU9ti8YpZRSKntctWqQiKwRkd+IyJiIHBGR20VkzonNIlImIj8QkUERGRKR+0WkaiFqTlc6bRWRCxLt3Jd4XpuIfElEXLuHVLrf02nP94nIZhExInKdnbVmKpO2isgNIvKKiIyLSL+IPCoiRXbXnK4Mflc3isivRGQgcXtcRC5aiJrTISIrReR7IrJdRGIi8lSKz7Mtk1yzUkuGC1P9J3AGcAsQB74K/BdwhV31ZiKDtn4k8divYk1dXw/ckfj4QRtLTkuWFhu7BWiypcAsyqStInIL1vDj14DPY02nfTsu+v2cLt22JmadPQ5sBf4gcfjzWOsZnW2M6bCz7jStBa4FfgvMZ4cQ+zLJGOOKG/DXWPO+S6cd+0tgbPqxWZ53CdaV6ldOO3Zh4tjvON2uLLe1epZjmxJtXep0u7LVzmmPrQB6gZsTbbzO6TbZ8T0FRoA/droNC9DWW4EYUDbjexwDPul0u05Rs2/av38MPJXCc2zNJDcNj1wDPGZOnpHyQ6wVBq+a43ndxphnkgeMMS8DBxP3uVFabTXGzHZ12auJjw3ZKy9r0v2eJt0BPA/8xobasi3dtn448fHf7CrMBum2NQ+IAqPTjoUTx1y5apMxJp2FiGzNJDeF9mpmXKxjjOnE+uu9etZnnOJ5CbvmeJ6T0m3rbC7Bevu1PzulZVXa7RSR9cAngM/ZVl12pdvWi4A24GYR6RKRKRF5SUQuta/UjKXb1p8kHvMNEakVkVrgH7F67Q/aVKsTbM0kN4V2ugtTObKgVYayUrOI1GGNId5njOnJUm3ZlEk7vw3caYzZl/Wq7JFuW+uAM7G+j18ArsfqiT4qIkuyXWSWpNVWY8wR4G1Y51+6E7cbgHcbY3ptqNMptmaSm0JbzYOI5GOd7AgDn3G4nKwSkZuwguzvna5lAQhQDNxsjLnfGPMo8AGscd4/c7SyLBOReqwe9RasYYJrEv/+RWKNfpUCN4X2vBemyvB5TsqoZrFWbf93Eme2jTGLpp0ikgd8Hetsu09EyoHSxN1FM5ZTcJNMfn4N8FTyQGKseAuwJov1ZVO6bf081rj2jcaYRxN/oD6I9QfKK8NgqbA1k9wU2ukuTPWW5yWcalzJDTJdhOufsKZavd8Y49Y2QnrtLMKa4vdNrB/wQWBb4r4f8uaJV7dJ93u6C6u3PfNEnGCdq3CjdNu6GnjDGDOVPGCMmQTewJo2uFjYmkluCu10F6Z6BKgTkcuTB0RkI7A8cZ8bpb0Il4j8Ndbb5t83xjxnX4lZkU47w1jjntNvH03c9zfAx+wpNWPpfk8fTnx8W/KAiJQB5/PmHyu3SbetHcC6xNAeACJSAKwD2m2o0yn2ZpLT8yCnzWOsAI4CvwZ+B2v+cRj4+xmP2wfcM+PYY8ABrJMaH8A6G/+s023KdluB38N6K/0D4OIZtxqn25XN7+mM+1tx/zztTH5+/yvx3D8C3osVfL1AhdPtymZbsf4QTQG/SLTzOqwQmwI2ON2uU7Q1BNyYuL2I9a4g+XnoNN9T2zLJ8f+UGQ1dg7Uf5Xjih+IOwD/jMe3AvTOOlSeC7DgwDDzALBeiuOmWTluBexPhNdvt4063KZvf0xn3uz60M2kr1onIfwX6E899HDjb6fbY1NZ3AM8AA4nb08DVTrcnhZ+92W6tp2mnbZmkC0YppZSHuGlMWyml1Bw0tJVSykM0tJVSykM0tJVSykM0tJVSykM0tJVSykM0tJVSykM0tJXnJPbsGxeRVqdrUWqhaWgrT0ms4fBurP0U/8nhcpRacBrayjMSS9LeibXWxVeAahF5d6avKSKvicgfzTh+hoh8efriRnO8zp0ick8mtSiVCr2MXeU0EfkI1vrdK8y0JUNF5M+BLxpjalN8nVasZTfXGe/stqM8SHvaKtfdhrVd29SM4+uBHam+iDGmHXgO+GT2SlPqrTS0lSeIyFUiYkTk2mnHlolIj4h8K83XXAlcCvx4xvEerE2F35b4mkZE3p7CS/4E+JiI6O+Vso0OjyjPEJEngAJjzGWJjQJeAA5i7eATS+P1/gT4BlBqjIknjgnWDulPJu5LblLwmjEmMsfrbQBeA84xxrh1AwPlcdojUF7yJeBSEXkX1qbGU8BN6QR2wvnArmRgAxirF3MMCAIPG2N+m7idNrAT3sDa7/DCNOtRak4BpwtQKlXGmGdF5HHgZ1iLy19kjAln8JJ1QN8sx9djLXL/+jzri4rI8cTrKmUL7Wkrr9mHtQXUl4wxXfN9soisFpG7E58GgYlZHrYeOGCMGZ32vGYR+Y2I7BKRN0Tka4mhlJkmEq+rlC00tJVniMgmrBOE24Cb03kNY8xuY8wtiU8HsLaFmmk9b91UNwp8wRhzFnAu1rj3DbM8tzzxukrZQkNbeYKIvBP4DvDHwK3AxSJyTRqv810RuSnxaRuwbJaHrcaac32CMeaoMWZz4t+TwHagecZr12C9C9gz37qUSpWGtnI9EVkLPAh81Rjz78aY32JtfvvlNF7uHKwZHgDPAy2JsJ1uGLhSRK4UkYtnDoOISBXWDtuPzXjeRqyx8BfSqEuplGhoK1cTkVqsaXe/Av5u2l13ABeKyHunPXariPTNcrs/cb8PWM6bPeGnsIYy3jPjy/4VUAn8BvgvM21erIgUYM3r/idjzK4Zz3sP8LQxpj+jRit1GjpPW+UMEVkN3GuMuXjasX8GVhpj3nvqZ554rB/4EdBpjPnsLPd1AH9ljPl/2a1cqTdpT1vlkulDI0lfx7ry8YwUnv89YAT4i1nu+xAwDvwwowqVmoOGtsolbwntxLTBTwD1p3uiiFyGNWNlI/BqYmXA26Y/BLjZGBPNbslKnUyHR5RSykO0p62UUh6ioa2UUh6ioa2UUh6ioa2UUh6ioa2UUh6ioa2UUh6ioa2UUh6ioa2UUh6ioa2UUh7y/wHPOPs6eoPfLgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for j in range(1, len(list_of_hist_1)+1):\n",
    "    sns.kdeplot(pd.DataFrame(list_of_hist_2[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "                shade=True, legend=True) \n",
    "    plt.xlabel(\"$\\hat{x}_{-i}(t_{2})$\", fontsize = 15)\n",
    "    plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### k=3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+Ceaicb9LEUlLyqHtnHvGOfeoc+6LeN0jHzWzSy7w2K8453Y653Y2NTVlqlbJUd05urrfUjoaKojGHccGtXiUBFO6A5HPJL5uylQhElzHBieoLo1QWbqS3jZ/aDBSgi7d0H5t4mt3pgqR4EpO9wuC5OnsB3Q6uwTUsk0jM7sPuB/YB8TwAvsPgG8457qyW54EQdfAJDtaq/0uIyWRUMg7M1ItbQmoVD7P/gL4LaATiALHgE8BX85aVRIY4zPzDE7M5uyaI0tpry9nX++o32WIpCWVMyL/GPjjNahFAig5CNkagEHIpPb6ch4+PMDA+CxNVTozUoJFq/zJqiRDOyh92vDiYORBzdeWAFJoy6p0Ja8LGaTQbtAMEgkuhbasSvfgJE1VJRSFg/OrVF1aRH1FsWaQSCAF550mOenYwESgBiGT2jWDRAJKoS1pc85xbHAyEGdCLtZeX87Rfp3OLsGj0Ja09Y3NMj0Xo6U2mC3taNxxtF+ns0uwKLQlbccGvMALYkv7/AURNINEAkahLWnrGgzO6n6LtdSUURQ29WtL4Ci0JW1d/ROUFYWorwjeRYzCIaOtrpz9Cm0JGIW2pK1rYILW2jIsh68LeTHeDBJN+5NgUWhL2o72TwSyPzupo6Gc4ck5+sdn/C5FJGUKbUnL5GyUM6MztNYGN7RfXFtbrW0JDoW2pOX8JcYCON0vqaO+AoCD6teWAFFoS1q6EtP9NgS4pV1ZGqGholgzSCRQFNqSlq6BCUIG66uD29IGEhdEUPeIBIdCW9LSNTDB+urSQC0UtZSOhnK6BiaYjcb8LkUkJcF+x4lvjvQFe+ZIUodOZ5eAUWjLikVjcY4PTbIhwIOQSe3nByPVRSLBoNCWFesZmWY+5gI93S+puaaU4nBIg5ESGAptWbHkzJF8CO1wyGirL1NoS2AotGXFkv2/+RDaAO2JNUicc36XIrIshbasWNfABDVlRVSWRPwuJSM6GsoZmZpnYHzW71JElqXQlhU73DdBW11+tLIB2hu8wUit+CdBoNCWFYnHHYf6xmmrK/e7lIxJrkFy8KxmkEjuU2jLipw+N830XIyN9fnT0q4sidBUVcILp0f9LkVkWcuGtpm918y+b2anzWzCzJ42s19bi+Ik9xxKtEY35lFLG2BTYwV7exTakvtSaWn/PjABfAJ4B/AQ8HUz+71sFia56VCfF9r51KcNsLmxgpPDU5ybmvO7FJGLSmX4/+3OucEF3z9oZq14Yf6l7JQluerQ2XEaK4spL86PmSNJm5sqAXj+9Cg3XdrkczUiF7ZsS3tRYCc9C7RmvhzJdYfOjudd1wh43SOAukgk56U7EHk9cDiThUjum4/F6RqYYGN9/oV2ZUmE5ppS9vac87sUkYta8WdcM3s98C7gg5kvR3JZ9+Ak0bjLu/7spM0ajJQAWFFL28w6ga8D33PO3X2Rx91uZrvNbPfAwMCqCpTccX7mSB62tAE2N1ZyZnRGZ0ZKTks5tM2sHvgxcAJ4/8Ue65z7inNup3NuZ1OTBnXyxeG+cUIGrXmwjvZSNjd5/drPn1YXieSulELbzMqBHwLFwNucc1NZrUpy0sGz47TUlFEcyc9zsjY1VmBoMFJy27J92mYWAe4FLgVucM71Z70qyUmHzo7nbX82QGlRmA11ZQptyWmpDET+HXAb8HGgwcwaFtz3rHNOHYAFYGouyqnhKV7dWe93KVm1qbGC506dwzmHmfldjsjLpBLab0x8/esl7tsEHM9YNZKzXjg9huPF+cz5auv6Kh45Mkj34OT5E25EckkqJ9d0OufsArfja1Cj5IDk/OVLmvI7tLe3VAPwZPewz5WILC0/R5Qk4/b2jNJQUUxtebHfpWRVS00ptWVFPHFsyO9SRJak0JaUPNdz7vyUuHxmZlzeUs3jXUO6/JjkJIW2LGt0ap4TQ1NsbiyMPt7LW6rpH5/lxJBmtkruUWjLsvYmTjYphJY2vNivrS4SyUUKbVlWct5yocymaK0tpaasSIORkpMU2rKsvT3naK4pzZurry/HzNjWXKV+bclJCm1Z1nOnRtmc5/OzF9veWs3ZsRlODqtfW3KLQlsuqn98hrNjMwUzCJmU7Nd+rEv92pJbFNpyUXtPef3Z+X5SzWIbasuoryjmkSNaWlhyi0JbLuqZkyOEDDoLrHvEzLhyQw2PHBkkGov7XY7IeQptuajHu4a4pKmS0qKw36Wsuas21jI+E+U5XYJMcohCWy5oYjbK3p5RdrRW+12KL67YUEPI4OFD6iKR3KHQlgv6xfFhYs6xvbXG71J8UVkSYcu6Sh4+rNCW3KHQlgt6vGuISMjYur6wZo4sdGVbLXt7RhmenPO7FBFAoS0X8VjXIFvWVVISKbz+7KSr2mpwwKNHB/0uRQRQaMsFjE7Ps793rGD7s5M2N1ZSVRJRv7bkDIW2LOmp7mHijoLtz04KhYwr22p44GCfpv5JTlBoy5Ie7xqiOBzi0nWF25+ddO2mBs5NzfPEMS0gJf5TaMuSfn50kEvXV1IU1q/IVRtrKSsK8aPnz/hdiohCW17u1PAUh/rGuXpjrd+l5ITiSIir2+u474Uz6iIR3ym05WXuP9AHwDUddT5Xkjuu3VTPyNQ8T2mNbfGZQlte5v79fWyoK6OlpszvUnLG1RtrKYmoi0T8p9CWlxidnufJ7mGuaVcre6GSSJhXttdy3wtnicV1YQTxj0JbXmLXoX6icaeukSVct7mBock5fqblWsVHCm15iX/f30dNWRFbCuR6kCtxTXsd1WUR7nnqpN+lSAFLKbTNbIuZ/b2Z7TWzmJntynJd4oO5aJxdhwZ4VXstoZD5XU7OiYRD3HxpEw8c6Kd/bMbvcqRApdrS3gHcBhwCDmevHPHTY12DTMxGuaaj3u9Sctatl60jGnfc+3SP36VIgUo1tH/gnNvonHsvsC+bBYl/vrenl4qSMFe2Ffap6xfTUlvGjtZq/uWpk8Q1ICk+SCm0nXM6oyDPTc1FuW/fWV7T2aCzIJdx67Z19IxM8/Murfwna0/vTgG8AcjpuRg3bmnwu5Sc9+rOeqpLI9z92HG/S5ECpNAWAL737GkaKorZ1lLYS7Gmoigc4pe2r+eBA/0c7R/3uxwpMFkJbTO73cx2m9nugQHNac11w5Nz/OzIINdf0kDINGskFW/c3kxxOMQ/PNLtdylSYLIS2s65rzjndjrndjY1NWXjJSSDfvT8GaJxx41bGv0uJTCqy4q4eWsj336mh/5xTf+TtaPuEeFbu0+xsa6M9vpyv0sJlNte0UI05vg/6tuWNaTQLnD7ekd5rmeUW7atw9Q1siItNWXs7Kzjnx8/wejUvN/lSIFI9YzIcjN7j5m9B9gANCW/NzM1zwLsnqdOURQ2btqibqx0/PKr2hififJ3u476XYoUiEiKj1sH3LtoW/L7TcDxTBUka2d6LsZ3nj3NtZsaqCxN9VdBFupoqODGLY3848+P8xs3dLKhVsvZSnalenLNceecXeB2PMs1Spb8cG8vE7NRXr9tnd+lBNp7d27E4fjiT7XCg2Sf+rQL2L88dZINtWVc1lzldymB1lRVwpt2NPOvz/Swr3fU73Ikzym0C9SzJ0d45uQ5btUAZEa88+oNVJcVcee9e5mLatUHyR6FdoH60gNHqCqNcKu6RjKisiTCh2/cxP4zY9z14BG/y5E8ptAuQC+cHuXBQwPcdkULpUVhv8vJGzs767np0kb+9qEu9vac87scyVMK7QL0pQePUFES5o071vtdSt75zes7qS0v4o5/eZaxGc3dlsxTaBeYg2fH+Mm+Pt68o5nyYk3zy7SKkggfu2ULp0am+cQ39mjNbck4hXYBcc7x2e/vp7w4zJt3tPhdTt7a1lLNB67t4IED/dz1kE66kcxSaBeQbz9zmsePDfHrr2nXyTRZ9qYd67lpSyN/9e+Heehgv9/lSB5RaBeI4ck5/uxH+9m6vpJbNGMk68yMD920iY6Gcj5+z7McH5z0uyTJEwrtAvG5H+5nfCbKh2/crDWz10hJJMwn3rCVuIPf/erTTM1F/S5J8oBCuwB86+kevvPsad55dSsbtfzqmlpXXcrHbtnC4bPj/ME3n9PApKyaQjvPHTo7zqe/+zzbW6p59yvb/C6nIF21sZb3X9vBj184y/9z30G/y5GA02hUHhufmec/fe1pSiNhPnbrFsIhdYv45bZXNNM/PsNXfnaMtroyfuP6Tr9LkoBSaOepmfkYv/NPuzk+NMWn3rKNuvJiv0sqaGbGb1zfyeDELP/39/YRizt++7Wb/C5LAkjdI3koGovzsa8/y5PHhvno6y5hR2uN3yUJEA4ZH3/9Vl7dWcdnf7CfL/70EM6pj1tWRqGdZ+Jxxx9+ey/3H+jjt1/byWt1sd6cUhwJ8fHXb+U/bG3ibx48yh337GFyVrNKJHXqHskjzjn+9If7+ddnTvMrOzfyS9ub/S5JlhAOGbffvJn1NaXcu/sU+3tH+fIHruHS9VrXXJanlnYe+ZsHjnL3Y8e57Ypm3nV1q9/lyEWYGe+6egOfesvlDE7M8c6//Tnf23Pa77IkABTaeeLun3fzV/cf5nVbm3j/dR26sEFAXLGhhj//v15Be305H79nD5/+7vPqLpGLUmjnge8828NnfrCfV3fW8Ts36YzHoKmvKOaP3no5b31FC1994iS3/uUuvv9crwYpZUkK7YD77rOn+eQ393JFazUfu+VSzcUOqEgoxAeu6+Cz79hBeXGEO/7lWd5+16P8+PkzxHQWpSxg2f5rvnPnTrd79+6svkYhisUdX/jJQf7+4WNsb6nik2/cRlmxrkKTD+Jxx8NHBvj+nl7Ojs2wubGCj7zuEt71yg0UR9TOKhRm9rRzbufLtiu0g+fpEyN8/r6DPNU9zBsuX89v3tBBJKQ3c76Jxx1Pdg/z/edOc3xoivXVJbz7VW287coWtrdUa9wizym0A25oYpZdhwb47p7TPHJkkOqyCO97dTu3XKZlVvOdc469PaP8eN8Znu8ZJe6goaKYbc1VbG+t5oYtjVy3qUGftPKMQjtARibnOHBmjH29Y+w/M8a+3lGO9E3g8Aat3rSjmTduX6+L8hagsZl5dh8f4UjfOKdGpjg5PMV8zFEcDnHz1ibeeXUrr798nS4llwdWFdpmth34EnA9cA74B+CzzrnYcs9VaF+Yc46ekenz4by/d5R9vWOcGZ05/5iGimI6GsrZ3FTJKzfW0tlYodkhct5cNM7Bs2PsOXWOJ7uHGZ6cI2zGlnWVbG+tpq68mIqSMOXFESpKwtSUFbGjtZpNjZUatM5xFwrtZf8cm1kdcD+wH3gncAnwl3gzTz6d4Trz1lw0zpH+cfYnW8+nxzhwdozxGW9ObshgQ20ZmxsruOWydXQ2VtBRX051WZHPlUsuK46EuLKtlivbavnAtR0cPDvG86fHOD40ySNHBpiaizEzH2PxBJTy4jBXtNbwirYaLl1XSX1FMTVlRUTCIUIGITNCZhRFjLryYurKizUImiNS+Qz1EaAMeLdzbgz4dzOrBj5jZl9IbPONc47ZaJzZaJxwyKgoDqc9QOOcY3BijlMjUwxPzBGNO8BRUhSmItFSqSiOEAkbw5Nz9I/NcnxokqP9E5wZnWF6PsZcNE55cZiqxDUYJ2djDE7McrR/IrE/KImEaK8v59pNDXQ2lNPRUMHG+jJKIurukPSFQsb21hq2L1ogzDnHXCzOzHycc1NzHB+a5NjAJN2Dk/zz4yeYi8VT2n9TZQkb68vobKxge0s1l7dUs625iobKkmwcjlzAst0jZvYzoNc5974F29qBE8A7nHM/uNjzM909MheN81T3MI8eHWT38WGePz3KbPTFX7pI2KgrK6auooja8mLqyou8lkKF9++asiLmY47puRij0/MMjM/SPz7DyeEpTo9MMxNN7Rd4oerSCE1VJRRHQhSFQsxG4+cvLVVaFKaiJEJ7fTkdDeV0NlTQXF1KSB9NJQdE43FGJucYn4kyORcjHnc4HHEHznkrRo7NRBmbmWdwfJaBiVl6z00zMjV/fh9NVSW01JRSGgkTCRtzsTjz0TglRWEqSyJUlESoLIlQWRKmurSI6rIiqssiL/671Pu+vqJYDZcF0u4eAbYBD1ec8BgAAAsqSURBVC7c4Jw7aWZTifsuGtrpOtw3Tv/YLFNzUUan5+kamORw3zhPHBtiai5GJGR0NlZw67Z1VJcVURwOEYs7JmajjM9EmZidZ2ImytnRGcZn5hmbib7sJIWQQU2ZF+6NlcVc1lzNuqoSmqpKqCkrIhwyDO8PxUw0zsy891EzGnNUlUWoLStmXXUJ1aXqwpBgioRCNFWV0rTCtarGpuc5MTzFyaEpTgxPJt5z3nssHDIiYWNsep7+sRlm5r33zvR87CUNrKVUl0WoKy+mvCh8fqDd4X1a8L6S2OZwiT8syX+bQWkkTFmx99yyxD5Ki0KUFnl/UMJmhENe1084ZDgH8fP7dhgQDoWIhI1IyIiEQxSFvccWJbaHQ0ZROJS434gkthtGyLx1ZczAgB2tNRmf1ZNKaNfhDT4uNpK4Lyv+/N8OsOvQwPnvIyFjY305r9+2ntduaeBV7XUrmj3hnGNqLsb4TJRI2Cgr8n64GtQTWbkNtWVc3lK94udFY3EmZqMv3hJhPzYTZWRqjuHJOcZn5pmejzM7781z8AIwRPKt6n1v5//tfTWcc8wn9j80Mcds1PsjMZP4YxGNOeLOEYt7Ib2YwZLbV+P+338dW9ZVZnSfWZkXZGa3A7cnvp0ws0OZ2G8XsAu468VNjcBgJvad43Sc+UXHmV8ueJyXfn5V++1YamMqoT0CLHXpk7rEfS/jnPsK8JWUS0uTme1eqs8n3+g484uOM7+s9XGmMofnIF7f9XlmthEoT9wnIiJrJJXQ/jHwJjNbOFTxq8A08HBWqhIRkSWlEtpfBmaBfzWzNyT6qz8DfNHvOdqsQRdMjtBx5hcdZ35Z0+NcyWnsd/HS09g/k8pp7CIikjlZXzBKREQyJ2cXEzCz7Wb2gJlNmVmvmf2pmS07MdvMaszsH81sxMxGzexrZtawFjWvVDrHaGavThzf0cTzDpnZn5hZ6VrVvVLp/iwXPD9kZrvNzJnZ27JZ62qs5jjN7N1m9gszmzazITO7z8wqsl1zOlbx3txpZj81s+HE7X4zu3Ytak6HmW0xs783s71mFjOzXSk+L6sZlJPrN65ykapvAluBDwNx4PPAd4GbslVvOlZxjL+aeOzngSPAlcDnEl9/OYslpyVDC459GGjLSoEZsprjNLMP43U/fgG4E2867a3k4Psz3eNMzDi7H3gG+I+JzXfirWX0CufciWzWnaYdwG3AE8BKTnvObgY553LuBnwKbw549YJtfwhMLdy2xPOuxzup6eYF216T2PYGv48rQ8fYuMS22xPH2OH3cWXqOBc8tg4YAD6UOMa3+X1Mmf55AuPA7/h9DFk+zo8AMaBm0c82BnzU7+O6QM2hBf/+FrArhedkPYNytXvkLcBP3Etnp9yDt9rg65Z5Xp9z7mfJDc65p4DuxH25JK1jdM4tdebVs4mvrZkrL2PS/VkmfQ74OfBAFmrLpHSP81cSX/9PtgrLsHSPswiIApMLtk0ktuXkWhLOuZWvHrcGGZSrob2NRSfuOOdO4v0137bkMy7wvIQDyzzPD+ke41Kux/sY1pWZ0jIq7eM0syuBDwKfzFp1mZPucV4LHAI+ZGY9ZjZvZk+a2Q3ZK3VV0j3Obyce85dmts7M1gF/hddqvzdLtfoh6xmUq6Gd7iJVvixulaaM1GpmzXh9if/snOvPUG2ZtJrj/BJwl3PuaMaryrx0j7MZuAzvZ/hfgbfjtUbvM7P1mS4yA9I6TudcL3AL3rhLX+L2buBNzrmBCz0vgLKeQbka2pICMyvGG/SYAD7hczkZZWbvwwuzP/O7liwzoBL4kHPua865+4B34fX1fszXyjLIzFrwWtRP43UTvCXx7x8l1ueXFOVqaK94kapVPs8Pq6rVvMvz/BOJEW7nXK4dX9KKj9PMioC/wBt1D5lZLZBcB7Ri0ZIKuWI1v7MObwFLABL9xU8D2zNYX6ake5x34vVrv8c5d1/ij9Mv4/1xCkL3V6qynkG5GtrpLlL1suclXKifyU+rXYjrf+JNuXqncy7Xjm2hdI6zAm+K3xfxftFHgOcS993DiwOvuSTdn+cBvNb24sE4wxunyDXpHuc2YJ9z7vwlb5xzc8A+vGmD+SLrGZSroZ3uIlU/BprN7MbkBjPbCWxO3JdL0l6Iy8w+hffR+QPOuUezV2JGpHOcE3j9nwtvv5a4778D789OqauS7s/zh4mvtyQ3mFkNcA0v/qHKJeke5wngikSXHgBmVgJcARzPQp1+yX4G+T0X8gJzHeuAM8C/A2/Am4c8AfzZoscdBf73om0/AY7hDXK8C29k/hG/jylTxwj8Ot7H6X8Erlt0a/L7uDL5s1x0fye5PU97Nb+z30089zeBt+KF3wBQ5/dxZeo48f4IzQM/Shzj2/BCbB64yu/jusCxlgPvSdwex/tUkPy+/CI/z6xmkO//MRf5D9uOd23K6cQvyeeA8KLHHAfuXrStNhFo54Ax4OsscUJKLtzSOUbg7kR4LXX7Lb+PKZM/y0X353Ror+Y48QYi/xcwlHju/cAr/D6eLBzn64GfAcOJ28PAf/D7eFL4nVvq1nmR48xqBmnBKBGRAMnVPm0REVmCQltEJEAU2iIiAaLQFhEJEIW2iEiAKLRFRAJEoS0iEiAKbQmcxHX7ps2s0+9aRNaaQlsCJbGOw5vwrqf4P30uR2TNKbQlMBLL0d6Ft97FZ4FGM3vTavdpZnvM7DcXbd9qZp9ZuMDRMvu5y8z+92pqEUmFTmOXgmZmv4q3dvclbsGyoWb2ceCPnHPrUtxPJ97Sm1e4YFxpRwJKLW0pdHfgXaptftH2K4EXUt2Jc+448Cjw0cyVJvJyCm0JBDN7nZk5M7ttwbZNZtZvZn+T5j63ADcA31q0vR/vgsK3JF7TmdmtKezy28D7zUzvK8kadY9IYJjZg0CJc+61iQsFPAZ04129J5bG/n4X+Eug2jkXT2wzvCukP5S4L3mRgj3OuZll9ncVsAe42jmXixcwkDygFoEEyZ8AN5jZG/EuaDwPvC+dwE64BjiQDGwA57VizgKlwA+dc08kbhcN7IR9eNc8fE2a9YgsK+J3ASKpcs49Ymb3A9/BW2D+WufcxCp22QwMLrH9SryF7p9fYX1RMzuX2K9IVqilLUFzFO8yUH/inOtZ6ZPNbJuZ/UPi21JgdomHXQkcc85NLnruw2b2nJntNbNvmVn1Es+dTexXJCsU2hIYZnY73gDhc8CH0tmHc+6gc+7DiW+H8S4NtdiVLH1R3Xc4565yzl0JnATuXOIxtYn9imSFQlsCwcx+Cfhb4HeAjwDXmdlb0tjPl83sfYlvDwGblnjYNrw51y/hnBtN7CMEVOB1oSzcdxPep4DDK61LJFUKbcl5ZrYDuBf4vHPun5xzT+Bd/PYzaezuarwZHgA/B9oTYbvQGHCzmd1sZtclZpQka/k3oA+4DO9U+oV24gX5Y2nUJZIShbbkNDNbhzft7qfAHy+463PAa8zsrQse+4yZDS5x+1ri/hCwmRdbwrvwujLevOhl/xtQDzwAfNctmBfrnLsNb6DxKeA/LXrem4GHnXNDqzlmkYvRPG0pGGa2DbjbOXfdgm1/DWxxzr31ws9ccl87gG84565IfB8GTgD/zTn31QyWLfISamlLIVnYNZL0F3hnPm692BPNrM7M1i/Y9Mu89DT39wLTwD2ZKFTkQjRPWwrJy0LbOddjZh8EWrj4AGId8A0zKwEMOAD83oL7DfiQcy6a2ZJFXkrdIyIiAaLuERGRAFFoi4gEiEJbRCRAFNoiIgGi0BYRCRCFtohIgCi0RUQCRKEtIhIgCm0RkQD5/wEhH4Vh/SPHwQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0v7nWVRez54RCW/xjKS3t0fhtB3A/8KGMVCS+19E7SqjAqC/LnkuMnc26mhJ6RyY5NTrldSkiSVlKaF8FvBT4APAG4Oaz7WhmN5rZTjPb2dvbm2KJ4jftPSOsrSwmEMjemSMJ62tig5F7Tw55XIlIcpIObefcE865B5xzXyDWPfI+M9t4ln1vcc5td85tr6+vT1et4hPt8el+frCuRjNIxF+WOxD5RPxra7oKkdwwEZmh83T2XWLsbKqKQ5SHgwpt8Y3lhvZL4l8PpasQyQ2H+kaJuuy8Ws1CzIx11SXsVWiLTyw6e8TMfg7cBbQBM8QC+wPA7c65jsyWJ36TmO7nl9AGaKouZkd7H9Go80U/vOS3ZKb8PQa8C2gBpoGDwEeAb2SsKvGt9p4RDFib5XO051pfU8L41Aydp8dZX1vidTki55TMGZEfAz62ArVIDujoHaW+vIjCoH/WIls3ZwaJQluynX8+WeIL7T3DvhmETNAaJOInCm1Jm5mo42DvqO9Cu7iwgNUVRezRXG3xAYW2pE3XwDiT01FfDUImtNSW8kznoNdliCxKoS1pM3u1Gp+cWDNXS10px06PMzgW8boUkXNSaEva+HG6X8KGulIA2rrU2pbsptCWtGnvGaGyOER5OHsvMXY2LbWx0H5WoS1ZTqEtaRNbKMp/XSMAFcUh6soKeea4BiMluym0JW3ae0d82TWS0FJbyrPH1dKW7KbQlrToH5lkYCziu+l+c7XWlXKob5ThCQ1GSvZSaEtadPSOAvg6tFvig5G6ko1kM4W2pMXsJcZ8HNqJGSTPqItEsphCW9KivWeEomCA2jL/Xu+5qqSQ6pIQbQptyWIKbUmLjt4RGqqKCZi/lzZtqS1VS1uymkJb0qK9Z9i30/3maq0rpaN3hLGpaa9LEVmQQltSNjwR4fjAxOxqeX7WWldK1GkwUrKXQltSdiA+CNlU499ByIRWnc4uWU6hLSk70B1rleZCS7umtJCKcFAn2UjWUmhLyvadjM0cqS8v8rqUlJkZLXUajJTspdCWlO3rHqKp2v8zRxJa60o50D3CRGTG61JEzqDQlpTtPzlCUw50jSS01pYyHXXs79ZgpGQfhbak5PToFL0jkzRV+38QMqFVZ0ZKFlNoS0oSrdFcamnXlxdRWlTAs1qmVbKQQltSsn925kjutLTNTMu0StZSaEtK9nUPU1pYQE2pf9ccWUhrXSl7Tw4RmYl6XYrI8yi0JSX7u2ODkJYjM0cSWutKicxoMFKyz6KhbWa/Y2b/bWbHzWzEzB43s7euRHGS3Zxz7Ds5nFODkAmt8WtGtqlfW7JMMi3tvwBGgD8Hfgu4F7jNzP40k4VJ9usdnmRwPJJTg5AJqyvDFIcKdKFfyTrBJPZ5vXOub87395hZA7Ew/0pmyhI/2HsyMXMk91raATNa6kp4plOhLdll0Zb2vMBOeBJoSH854id7TsS6Dpprc6+lDbG1tfecHGJag5GSRZY7EHklsD+dhYj/7D4xRF1ZIeXhkNelZERrXSkTkSgH+0a9LkVk1pJD28xeCbwR+Hz6yxE/aesaojk+YJeLEmdGar62ZJMlhbaZtQC3AT90zt16jv1uNLOdZrazt7c3pQIlO01EZjjYO5KzXSMADZXFFAYDOp1dskrSoW1mNcDPgCPA28+1r3PuFufcdufc9vr6+hRLlGy07+QwUQctNbnb0g4EjJbaErW0JaskFdpmVgL8GCgErnfOjWW0Ksl6bV25PQiZ0FJbSlvXENGo87oUESC5k2uCwHeB84DXOOd6Ml6VZL3dJwYpKSzIiQsfnEtrXSljUzMc6tdgpGSHZOZpfw14LfB+oNbMaufc96RzbjIjlUlW2901RHNt7p2+Pt/cwciN9WUeVyOSXPfIq+JfvwQ8PO+2NkN1SRabiTr2nBymOYf7sxMaq4sJFdhsd5CI1xZtaTvnWlagDvGRI/2jjE/N5Hx/NkAwEGB9TQm7Oge8LkUE0Cp/sgy7Z8+EzP2WNsDG+jJ2dQ4yo8FIyQIKbVmy3V1DFAQsJ9ccWcimVWWMTc1omVbJCgptWbJnu4ZoqiomVJAfb5/Nq8sBePKoukjEe/nxqZO0cc7xTOfA7KyKfLCqvIiKcJAnj572uhQRhbYszfGBcU6PRdhQnz+hbWZsWlXGEwptyQIKbVmSxPrSG/JszvJ5q8rp6B1lcCzidSmS5xTasiS7jg8SDBjra3J/ut9cm1bFfkk9pal/4jGFtizJM52DrKspyZtByISN9WUEDPVri+fy65MnKXHOsev4ABvyaBAyobiwgHU1JZpBIp5TaEvSjp0aZ2h8mtY8GoSca1N9GU8ePa0V/8RTCm1J2q7jsVbmhrr8GoRMOG91GUMT07T3jnhdiuQxhbYk7ZnO2CDkujw5E3K+rWsrAdhxYKFrXYusDIW2JG1X5yDNtSUE82wQMqG+vIiGqjA79usSeuKd/Pz0yZJFo45nuwZpzdOukYRtjVU8cqifyekZr0uRPKXQlqQc6BlheGKaTavycxAy4eKmSiYiUXYe1tQ/8YZCW5Ly6KF+AC5YU+FxJd7auraCYMD41QF1kYg3FNqSlEcPnqKurDDnrwm5mHCogPPXlLNjvwYjxRsKbVmUc45HDvZzwZqKnL8mZDIubqxk94kheod1eVRZeQptWVRH7wj9o1NcsDa/u0YStjVVAfBAu7pIZOUptGVRjxw8BaDQjmuuLaGqJMSdz3Z7XYrkIYW2LOqRg/3UlBayuiK/+7MTAmZctbGOu/Z0c3p0yutyJM8otOWcnHM8evAUW9aUqz97jqvPq2M66vjxri6vS5E8o9CWczrUN0rvyCRb1TXyPM21pTTXlvC9xzu9LkXyjEJbzunhg/H52QrtM7x0Uz1Pdw7S3qMFpGTlJBXaZrbJzL5pZrvMbMbM7stwXZIl7t3bS11ZIWsrw16XknVesqmWgMH3n1BrW1ZOsi3tC4HXAvuA/ZkrR7LJ+NQMDxzo5YXrq9WfvYCqkkIuaarijic6mZqOel2O5IlkQ/tHzrl1zrnfAdoyWZBkjwfb+5iYjnJZc7XXpWStV124mu6hSbW2ZcUkFdrOOTUj8tDde7spDhVoEPIcLmmqYmN9KTff205kRh8TyTwNRMqColHHXbt72NZUmbfrZyfDzLjhBU10nh7nv5487nU5kgf0aZQFPXN8kN6RSXWNJOEF66torSvl5nvamVZrWzIsI6FtZjea2U4z29nbq/UZ/OiuPd0EDC5dV+V1KVkv1tpu5OipMX74lE62kczKSGg7525xzm13zm2vr6/PxEtIht3ZdpLNq8spD4e8LsUXLmuuprm2hK/cc4AZXa1dMkjdI3KGtq5B9nePcOXGWq9L8Y1E3/bh/jF+9LRa25I5Cm05wx2PHycYMK7aUOd1Kb6yvaWadTXFfFmtbcmgZM+ILDGzN5vZm4FGoD7xvZmVZLZEWUmRmSg/eOo4lzVXUxYOel2OrwTire2DvaP85JkTXpcjOSrZT+Uq4LvztiW+bwUOp6sg8dZ9+3o5NTrF1edpLGI5Lm+toam6mC/ffYDrL15LIKAzSSW9kj255rBzzs5yO5zhGmUF3fF4J5XFIbatq/S6FF8KmPGmFzTS3jPCz5496XU5koPUpy2zTo9Ocdeebl6ysZZgQG+N5Xpxay2NVbHWdlR925Jm+mTKrP947CjTUcfLzl/ldSm+FggYb3xBI/u6h/nFbrW2Jb0U2gLA1HSUWx88zMWNlayr0dhyqq7cUMvayjBfUmtb0kyhLQD8eFcXPcOTvPbitV6XkhMKArG+7T0nhvmRLkkmaaTQFpxz/OOOgzRVF3NJkwYg0+Ulm+rYUFfK//npXsampr0uR3KEQlt4qKOfPSeGee1Fa3WxgzQKmPGOK5s5OTTBN+4/6HU5kiMU2sLX7+ugsjjESzbpDMh027Kmgis31vLN+zs4PjDudTmSAxTaeW7n4VM80N7H9dvWUhjU2yET3nb5ehzw4Tt2aVBSUqZPaZ774l37qSwOce0Fq70uJWfVlRXxe1c0s+NAH/+4Q90kkhqFdh577PApHmzv5/XbGgiHCrwuJ6dde8EqLm+t4XN37uOJo6e9Lkd8TKGdp5xzfPGX+6kqDnHtVp1Mk2lmxo0v3UB1aSF/8u0n6BuZ9Lok8SmFdp76j18f46GOft5waQNFQbWyV0JpUZD3v/I8+ken+IN/2clEZMbrksSHFNp56Nnjg3zyv9u4pKmSV124xuty8srG+jL+6GWbePLYAB/87tMamJQlU2jnmcGxCO/79uOUh4P80cs3EdC87BV3eWsNb718PT/edYKP//ezCm5ZEq1yn0ceau/jg999mu7hST5+/VYqdP1Hz7x+21qGJyL8+yNHiTr4zBsu0trbkhSFdh7oG5nkC7/cz22PHmVtZZiPX7+VzavLvS4rr5kZb7t8PQUB47ZHjzI2Oc3/vuFiSgr1kZRz0zskh01NR7nlVx187b4OJiIzXHfRGt7yonUaeMwSZsZbtsd+Ht/deYxnjg/y1be/kC1rKrwuTbKYQjtHHTs1xh/f9gS7Ogd5UUs1b3nRehqrir0uS+ax+JVuzltVxlfva+f1X3mAt1/RzPtetpHVFWGvy5MsZM5ldhBk+/btbufOnRl9DXm+X7Sd5APxmQk3Xr2Ry1trvC5JkjA4HuH2x47xqwO9BAPGDS9s5O1XNHNRo1ZezEdm9rhzbvsZ2xXaucM5x9fu6+Bzd+5jQ10p73/leaxSa813uocm+OFTXTzY0cfUdJRtTZX83hXNXH/JWvV55xGFdo4bmZzmo//1DD98qourNtbyh1dv1AJQPjc6Oc2OA33cvbebztPjlIeD3PCCRt52RTPnr9FAcq5TaOewx4+c4n/d/hTHT4/z5svW8cZLG7Qudg5xzrGve5i79/Tw6KF+IjOOF7VU8/YrmnnNRWu0bkyOUmjnoOMD49x8Tzu3P3aUurIi3veyjZp5kOOGJiL8an8v9+zt4cTgBBXhIC/dXM818ZsGL3OHQjtHjE/NsONAL3e2dfPDp44D8Iotq3jLi9apvzOPRJ1jd9cQD7T3satzgNNjEQC2rCnnFVtW8VuXNugXuM8ptH2sf2SSu/f28Mvd3ew40MtEJEppYQFXbqzlDZc2UldW5HWJ4iHnHEdPjfF05yC7OgfYc2KIqIPNq8u49oLVXL25nheur9YYh8+kFNpmthX4CnAlMAB8C/iUc27RZcoU2ks3E421oh7q6OOuPd08fuQ0UQd1ZYW8cH0121tquGBNOcECfQjlTIPjER452M8jB/vZ3z1M1EGowNiypoKLmyrZ1ljJxU2VbKwvU394Flt2aJtZNdAG7AY+C2wEPg980Tn3N4u9sEL7TJGZKCcHJzgxOMGJwXG6BmJfTwxO0DUwzuH+UUYnY78Pm2tLuKy5mu3NNbTUlmiAUZZkbGqatuND7O8Z5lDfKIf7Rhmdeq6ttaYiTGN1MZXFISqLQ1SEg7Gv8e8T/64qCbG6PExVSUjvwRVyttBOphP0JqAYuME5NwT80swqgE+a2d/Ht62ooYkIe7qGCIcKKAsHaaktpcDjxXacc4xNzTA0EWFwPMLgWITekUlODEzQNTjOiYEJjg+Mc3Jwgr6RSeb/qiwpLKC2rJDa0iKu2ljHljXlXLC2guqSQk+OR3JDSWGQF7XW8KL4CVZR5+gZmuRQ3ygnBsc5OTTBqdEpTo1OMTo5zejUNGOTM2e8PxPCoQANVcU0xm9N1cWsqymhqbqYpuoS6suKtPBVhiUT2tcBd84L5+8Qa3VfA/woE4Ut5Gj/GLc+dJjvPHaUsTmthfJwkKs21rKtqYq6skKqSgpxDqajUWaijsiMYyIyM/vmTNymZqIUBQOEQwVUFoeoircoKksKKSoIMDQRYWg8wtFTYxzqG6V/dIrxqRkmp6NE43+hJN7ckeko02dZYjMcDFATD+QLGypmw7m2rJCa0ti/iwv1Z6pkXsCMNZVh1lSefZZJ1DnGp2biIR77OjI5zemxKfpGpugbmaRrYJxdnYMMjkee99hQgdFYFQvyurIiqkpClBcFCRUECBYECBUYoYJA/HujMP41GAhQGIx9Dc3Z77l9zvLYgFEQsLxq/ScT2luAe+ZucJQzokkAAAsuSURBVM4dNbOx+H0ZCe0D3cN0DU4wOB7h2Kkx7mw7ya7OQQoCxpUbarlyYy3OxU4q2XdymCePDnBnW/eiz1tSWEBFOEhZOEQwYExHHZGZ6OwbcyISfd7+BtSVF7G6ooiW2lKKggFCwcBzC5GbYUBBwCgtClJaVEBpYZDSoiAV4SC1ZUWUFhbk1ZtK/C1giffy4vEwOT1D3/AUvSMT9A5Pxm4jk5wYGGffyWFGJqef18DKhGDAKAsHKSsKUhEOUR4Ozg66WvzzaUb8ayzkCwsCFAaf/4ugKBiY/XcoaATijyX++IAZhcHA7GPn/zsw+1o2+3oXNlSmvUGWTGhXExt8nO90/L6M+Luf7uG+fb2z31+wtpybrt7AtVtXs6p84VbCZGSG02MRBiciFMR/OInfxIXBAJXFIUKLDN5NTUcZnogwNROlrChISWHQ864XkWy2oe7c9zvnmHGOmRlHJOqYnon9VTo945iORuNfY42n6efdH41vf/5+c++PRB2TkRlGJmcYm4o1vBINMOfA4Yj/N/t9NAqR+PNFZqLxW/z5ZmK1pstdf3ENm1aVpe35IEOr/JnZjcCN8W9HzGxfqs95BPg58JHnNtUBfak+r0/ky7Hmy3FC/hxrvhwnLHCs5302pedrXmhjMqF9GlhombHq+H1ncM7dAtySdGnLYGY7FxpZzUX5cqz5cpyQP8eaL8cJK3esyUz03Uus73qWma0DSuL3iYjICkkmtH8GvNrM5i4r9hZgHLg/I1WJiMiCkgntbwCTwPfN7Np4f/UngS94MUd7jox2v2SZfDnWfDlOyJ9jzZfjhBU61qWcxn4zzz+N/ZPJnMYuIiLpk/EFo0REJH2ycsUhM9tqZneb2ZiZdZnZ35rZojPUzazSzP7ZzE6b2aCZfdvMalei5uVYznGa2Yvix9gef9w+M/uEmWX1QsrL/ZnOeXzAzHaamTOz6zNZaypSOU4zu8HMHjOzcTPrN7Ofm1lppmterhQ+p9vN7Bdmdip+u8vMrliJmpfDzDaZ2TfNbJeZzZjZfUk+LiN5lHULMMcXqLqL2AJVb+C5BaoCwGILVP0nsBl4LxAldqr9D4CXZqre5UrhON8S3/ezwAFgG/Dp+NffzmDJy5bizzThvUBTRgpMk1SO08zeS6wL8u+BDxGbUvsKsvAzCss/1vjMs7uAJ4B3xDd/iNiaRhc7545ksu5luhB4LfAIEFrC4zKTR865rLoRO3/mNFAxZ9tfAmNzty3wuCuJnfh09Zxtl8e3Xev1caXxOOsW2HZj/DibvT6udB7rnH2rgV7gPfHjvN7rY0r3zxQYBv7A62NYgWO9CZgBKuf9fGeA93l9XGepOTDn398D7kviMRnLo2zsHjnbAlXFxBaoOtfjup1zv0pscM79GjgUvy/bLOs4nXMLnV32ZPxrQ/rKS6vl/kwTPg08CNydgdrSabnH+T/iX/8lU4VlwHKPNQRMA6Nzto3Et2XlehHOuejie50hY3mUjaG9hXkn7TjnjhL7Db5lwUec5XFxexZ5nFeWe5wLuZLYn18d6Skt7ZZ9rGa2DXg38MGMVZc+yz3OK4B9wHvMrNPMImb2qJldlblSU7bcY70jvs/nzWyVma0Cvkis1f7dDNXqhYzlUTaG9nIXqPJkYasUpKVeM1tDrA/x35xzPWmqLd1SOdavADc759rTXlX6Lfc41wDnE/s5/hXwemIt0Z+b2ep0F5kmyzpW51wX8HJi4y/d8dsNwKudc71ne5wPZSyPsjG0JUlmVkhssGME+HOPy0k7M/tdYmH2Ga9ryTADyoD3OOe+7Zz7OfBGYv28f+JpZWlmZmuJtagfJ9ZNcF383z8xs/Ve1uYX2RjaS16gKsXHeSWlei22QPe/Eh/Zds5l4zEmLPlYzSwEfI7YiHvAzKqAxOXFS+ctq5AtUnnvOuC+xIZ4X/HjwNY01pdOyz3WDxHr136zc+7n8V9Qv03sF5QfusCSlbE8ysbQXu4CVWc8Lu5sfUteS3Uhrn8gNtXqDc65bDy+uZZzrKXEpvh9gdib/DTwdPy+7/Dc4Gs2We7PdA/xNfrnbTdiYxXZaLnHugVoc87NXvLGOTdF7Dq0GzNQp1cylkfZGNrLXaDqZ8AaM/uNxAYz2w5siN+XbZa9EJeZfYTYn82/55x7IHMlps1yjnWEWN/n3Ntb4/f9NfD2zJSakuX+TH8c//ryxAYzqwQu47lfVNlmucd6BLgo3rUHgJkVARcBhzNQp1cyl0dez4FcYH5jNXAC+CVwLbE5yCPAZ+bt1w7807xtdwIHiQ1svJHYiPwOr48pnccJvI3Yn9L/DLx43q3e6+NK98903v0tZPc87VTeuz+IP/adwOuIBV8vUO31caXzWIn9IooAP4kf5/XEQiwCXOL1cZ3lWEuAN8dvDxP7qyDxfck5fqYZySPP/4ec5X/SVmLXpRyPvzE+DRTM2+cwcOu8bVXxMBsAhoDbWOBklGy5Lec4gVvjwbXQ7V1eH1O6f6bz7s/q0E7lOIkNRH4d6I8/9i7gYq+PJ0PH+krgV8Cp+O1+4GVeH08S77uFbi3nOM6M5JEWjBIR8ZFs7NMWEZGzUGiLiPiIQltExEcU2iIiPqLQFhHxEYW2iIiPKLRFRHxEoS2+E79e37iZtXhdi8hKU2iLr8TXb3g1sWsp/oPH5YisOIW2+EZ8Odqbia1z8SmgzsxenepzmtlTZvbOeds3m9kn5y5stMjz3Gxm/5RKLSLJ0GnsktfM7C3E1u3e6OYsF2pm7wc+6pxbleTztBBbcvMi54+r7IhPqaUt+e7PiF2qLTJv+zbg2WSfxDl3GHgAeF/6ShM5k0JbfMHMrjEzZ2avnbOt1cx6zOzLy3zOTcBVwPfmbe8hdjHhl8df05nZK5J4yjuAt5uZPleSMeoeEd8ws3uAIufcS+IXCXgIOETs6j0zy3i+PwQ+D1Q456LxbUbs6uj3xu9LXKDgKefcxCLPdwnwFHCpcy5bL14gPqcWgfjJJ4CrzOxVxC5oHAF+dzmBHXcZsCcR2AAu1oo5CYSBHzvnHonfzhnYcW3ErnV4+TLrEVlU0OsCRJLlnNthZncB/0VsYfkrnHMjKTzlGqBvge3biC1w/8wS65s2s4H484pkhFra4jftxC7/9AnnXOdSH2xmW8zsW/Fvw8DkArttAw4650bnPfZ+M3vazHaZ2ffMrGKBx07Gn1ckIxTa4htmdiOxAcKngfcs5zmcc3udc++Nf3uK2CWh5tvGwhfU/S3n3CXOuW3AUeBDC+xTFX9ekYxQaIsvmNlvAl8F/gC4CXixmV23jOf5hpn9bvzbfUDrArttITbn+nmcc4Px5wgApcS6UOY+dz2xvwL2L7UukWQptCXrmdmFwHeBzzrn/tU59wixC99+chlPdymxGR4ADwLr42E71xBwtZldbWYvjs8oSdTyU6AbOJ/YqfRzbScW5A8toy6RpCi0JauZ2Spi0+5+AXxszl2fBi43s9fN2fcJM+tb4Pbt+P0BYAPPtYTvI9aV8Zp5L/thoAa4G/iBmzMv1jn3WmIDjb8G/mje414D3O+c60/lmEXORfO0JW+Y2RbgVufci+ds+xKwyTn3urM/csHnuhC43Tl3Ufz7AuAI8GHn3L+nsWyR51FLW/LJ3K6RhM8RO/Nx87keaGbVZrZ6zqbf5vmnuf8OMA58Jx2FipyN5mlLPjkjtJ1znWb2bmAt5x5ArAZuN7MiwIA9wJ/Oud+A9zjnptNbssjzqXtERMRH1D0iIuIjCm0RER9RaIuI+IhCW0TERxTaIiI+otAWEfERhbaIiI8otEVEfEShLSLiI/8fEB/tnRSEP84AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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y/SsaALR7RKWlvdedc47M5ROhSZceUx6QdmiLiF9ESkXkCuBvgG9oK1udSTxhONQ/7srL1+drro6cWKhBKbdaTEt7PHl7HHgM+IgtFamCcnx4kulYwhOhvaw6wvHhKV16TLnaYkJ7M3Al8LfAm4Cvn2pHEblNRLaIyJa+vr4sS1ReluojdvMY7ZSXT0ZqF4lyr7RD2xizzRjze2PMl7G6R24XkVWn2PcOY8wmY8ymhoaGXNWqPCgVgG5b/GAhyzS0lQdkeiJyW/LrylwVogpTe2+UynCAinDQ6VLOaGmVtfTYAR1Bolws09B+dfLroVwVogpTe2/UE/3ZAEG/j8bKsI7VVq52xnHaInI/8BCwE4hjBfbfAj8xxhywtzzldQf6oly4vMbpMtLWXBXWESTK1dJZFvs54F1AGxADDgKfAL5pW1WqIAyOzzA0Mev6MdpzNVdHeGBnN7F4goDfvRcDqeKVzhWRnwY+nYdaVIE5sVpNjftPQqYsry1lNm7oGBhndWOF0+UodRJtSijbpE7oeaml3VpbCsDuLu0iUe6koa1s094bJeT3UV/hviXGTmVZdQSfwJ7uUadLUWpBGtrKNgf6ojRVu3OJsVMJ+n00V0fY260tbeVOGtrKNvs9MFHUQlprS9ndpS1t5U4a2soWU7Nxjg1NeuJKyPmW15RybHiK0alZp0tR6iQa2soW7b1RDNBaU+p0KYu2PHkycp92kSgX0tBWtkh1L6RGY3hJquY9GtrKhTS0lS32do8R8vtcvcTYqdSXhygN+XUEiXIlDW1li93do7TURPD5vDNyJEVEaK0t1Za2ciUNbWWLPV1jnuwaSWmtKWVP1xi6OJNyGw1tlXN9Y9MMjM+cOKHnRctrS4lOxzg2POl0KUq9goa2yrnUhSleD22wPjEo5SYa2irnUifwCiG0d+lFNsplNLRVzu3pHqM6EqQy4v7Vak4lEvLTVBVm5/ERp0tR6hU0tFXO7eke9fRJyJQVdaW8dExb2spdNLRVTsUThv090YII7ZV1ZRwbnmR4YsbpUpQ6QUNb5VTHwDjTsYSn+7NT2urLANh1XFvbyj00tFVOpUZbFERo11mhvVNDW7mIhrbKqT3do/jEWkzA6yojQerKQrykJyOVi2hoq5za0z1GU3WEUKAw3lor6sp46ZiGtnKPwvjLUq6xu2uU1hrvt7JTVtaXcqh/nImZmNOlKAVoaKscik7H6ByaZHltmdOl5ExbXRkJowv9KvfQ0FY5UwiXr8/38ggS7SJR7nDG0BaRt4rIL0XkmIhERWSriPxxPopT3vJyaBdO90hdWYiKcEBHkCjXCKSxz4eAQ8AHgX7gJuBuEak3xnzNzuKUt+zpHiUS9FNfXuJ0KTkjIrTVlbGjc9jpUpQC0gvtNxpj+uf8/IiINGOFuYa2OmF31yittRFEvLfwwemsWVLOL54/RnQ6RnlJOn8yStnnjN0j8wI75XmgOfflKK8yxrC3e6yg+rNT1jZWkDDwwlFtbSvnZXoi8nJgXy4LUd7WNTLF6FSsIEN7dWM5AFsPDzlciVLpdY+8goi8Fngz8O7cl6O8KnUSshAmipqvrCRAa02ErUc0tJXzFtXSFpE24G7gP40x3z/NfreJyBYR2dLX15dVgcobdhfAwgens7qxgm1HhkgkdM1I5ay0Q1tEaoHfAIeBd55uX2PMHcaYTcaYTQ0NDVmWqLxgb/cY9eUhSkOFeaJu7ZJyRidjHOyPOl2KKnJphbaIlAK/AkLAG4wxE7ZWpTzHuny9MFvZAGuXVACw7bCejFTOSufimgDwU2ANcIMxptf2qpSnTM3GOdA7fuLqwULUVBWmoiSgJyOV49L5LPv/sC6o+QBQJyJ1c+573hgzbUtlyjN2dY0SN4aVBRzaIsLqxnI9Gakcl05oX5f8+tUF7lsJdOSsGuVJL3Za83KcVcChDbBmSQX/vuUoIxOzVJV6d9Fi5W3pXFzTZoyRU9w68lCjcrkXj41QFQlSWxZyuhRbnbPU6td+6uBC15splR86y5/K2oudI6ysLyu4y9fnW72knNKQn8f26TBW5RwNbZWVqdk47b3Rgu7PTgn4fGxoruSxvX0Yo+O1lTM0tFVWiuEk5FwXtFRzfGSKA306Xls5Q0NbZSW1fmKhn4RMOb+lGoBH92oXiXKGhrbKyoudxXESMqWhooRl1RF+p/3ayiEa2iorLx4boa2utOBPQs51XksVzxwaZGo27nQpqghpaKuMTc3G2d8TZWV9udOl5NUFLdVMxxI8c2jQ6VJUEdLQVhnbnTwJWSz92SnrmyoJ+X08srvH6VJUEdLQVhl7rsNqaa5ZUlwt7VDAx8bWan79YhexeMLpclSR0dBWGXv64CDLqiNUlxbHSci5Nq+uoz86w1MHB5wuRRUZDW2VkVg8wbOHBjmnqcLpUhxxYWsNkaCfX24/7nQpqshoaKuM7OoaJTodY31TpdOlOCIU8HFxWw337+zWUSQqrzS0VUaeTnYLnFOkoQ2weVU9Y1MxvdBG5ZWGtsrI0wcHaa4OF2V/dsq5y6qojAS4d4d2kaj80dBWi3aiP3tp8bayAfw+4bKVdTy0u4eRiVmny1FFQkNbLdqJ/uzm4g5tgNec3ch0LME9z3c6XYoqEhraatGeOWiNzy7m/uyUlfVlrGoo4+5nj+h0rSovNLTVoj3R3k9zdZiaIu7PnuuadY3s64my7Yiu1K7sp6GtFmVqNs5TBwc4f1m106W4xuaz6okEffzbs0ecLkUVAQ1ttShPHxxgOpbgglYN7ZRIyM/mVfX8asdxRib1hKSyl4a2WpRH9/YR8vuK9qKaU7lmXSNTsQS/1OF/ymYa2mpRHt3by/rmSkIBfevMdVZ9Ga21Ee7ZpqNIlL30L0+lraN/nI6BCS5o0a6R+USEK1c3sO3IMAd1/Uhlo7RCW0RWi8i3ROQFEYmLyKM216Vc6NG9vQBs1P7sBb16dT0+gXueP+Z0KaqApdvS3gDcBOwF9tlXjnKzR/f2sbQyzNKqsNOluFJtWYhzl1Xx823HSCR0zLayR7qhfa8xptUY81Zgp50FKXeanInz9MEBHTVyBleuaeDY8CTPduhSZMoeaYW2MUaX5yhyD+7qZiqW4JK2GqdLcbVNK2qIBH38bKuekFT20BORKi33bDtGfXmIdTrU77TCQT+XnWWN2R6emHG6HFWANLTVGfWNTfP4/n42r6rHJ+J0Oa53/YYlTMUS/HSLtrZV7tkS2iJym4hsEZEtfX06QbzX3bvjOHFjuHJNvdOleMKKujLWLa3gh091ENcTkirHbAltY8wdxphNxphNDQ0NdryEyqN7nj/GyvoyWmpKnS7FM65bv5SjQ5M8tq/X6VJUgdHuEXVa7b1RXjw2whWrtZW9GBevrKG2LMQPnjzsdCmqwGhoq9P66Zaj+AQ2r6pzuhRPCfh8vHZdI4/t62NP96jT5agCku4VkaUi8hYReQuwDGhI/Swi+pm5QE3Nxvnxc0fZ1FZb1GtBZuq69UspK/Hzv+7b43QpqoAE0tyvEfjpvG2pn1cCHbkqSLnHvcmpRq9fv8TpUjypPBzgzRuXcdczR3iivZ9XaxeTyoF0L67pMMbIKW4dNteoHGCM4ftPdtBaE9FlxbJw3fqlNFSU8A/37dZL21VOaJ+2WtDzR4fZeXyUP1i/BNGx2RkLBXy8bVMrO4+P8ovtOpGUyp6GtlrQD5/sIBL0c8VqHbKZrc2r6ljVUMY//mYPY1O6so3Kjoa2OsnRwQl+9UIXV5/dQCTkd7ocz/OJ8N9fvZL+sWm++tB+p8tRHqehrU7yjccOAPCG85ocrqRwrGoo59p1jXzviQ72do85XY7yMA1t9QrHhyf59+eO8pqzG6grL3G6nIJy68WtREJ+PnnPi8TiOnGmyoyGtnqFbz12AAP84QXLnC6l4FSEg/zp5SvYeniIf/yNjt1WmdHQVif0jE7xb88e5crV9TRUaCvbDleuaeCGDUv5zu8P6ZzbKiMa2uqEL96/h4QxvPlCbWXb6Z2XLWdDcyWf+PkLbNEVbtQiaWgrALYdGeLn245x03lNLKnUNSDtFPD5+MBr11BfXsJ7frCF/T16YlKlT0NbkUgYPvvLndSUBnnzRm1l50NFOMjHb1iHCPzJd56la2TS6ZKUR2hoK362tZMXOkf440uW67jsPGqsDPOxG9YxMjnLn37nWUYm9MIbdWYa2kWuc2iCz/1qF+uWVuic2Q5oqyvjb69by6H+cd79g+eYmo07XZJyOQ3tIhZPGD74k+3EE4b3Xb1K5xhxyIbmKt5/zWq2HR7ir+7epsGtTktDu4h987EDPNcxxLs2t+nJR4ddelYd73p1Gw/v7uUNX/s9O4+POF2ScikN7SJ1/0tdfPnBfVx2Vq0u2OsS161fyiduXMdAdJo3ff0J7vjdAZ3OVZ1EQ7sIPby7h/ff/TyrGsu47UrtFnGT81uq+eIt53Ph8mr+4b49vPPOZ3RkiXoFDe0i8+DObt73o62sqCvlYzes09EiLlQRDvLB163ltivP4vmjQ9zwz49z34tdTpelXEJDu0gYY7jjdwf4i3/dyvLaUj5+wzmUhtJdbU7lm4hwzbpG/uHm82goD/GXd23jwz/dwcikDgssdvpXWwSi0zH+53++xM+3HePSlbXc/ppVlAS0he0FTVURPvOHG7hn2zF+vq2TR/b08tHrz+atm1rx+7RbqxiJMfae6Ni0aZPZsmWLra+hTu25jkE++JPtHB+e5OYLl/FHr2rBp33YnnSof5wfPtXBnu4xVjWU8Z4rzuLmC5dpF1eBEpGtxphNJ23X0C48xhi2HB7ijt8d5KFdPTRWlnD71as5e2mF06WpLBljePrgAPe+0MWh/nGqIkHecH4TN1+4jItW1OhJ5QKioV0EOocmuHdHF/+5/Rh7uscoLwlw3folvPGCZsJBbY0VEmMMe7vHeGh3D88dHmImlqChooRrzm7g2nVLeM3ZDfo79zgN7QLVNTLJQ7t6+MX242w9PATA2iXlXLG6nqvWNmjfdRGYnImz5fAg244M8WLnCOMzccpK/Fy/filvv2Q5F7dpC9yLNLQLRCJheP7oEA/u7OG/9vayrycKQGtNhM2r6rl8VZ1e3VjE4gnDrq5RnjrQz7Mdg4xPxzmnqYJbXtXC5lX1rFtagU9PYHpCVqEtIuuBrwGXA8PAncDfGWPOOEmChnb2JmZiPHNwkAd3dfPgrh4GojP4fcK6pRVsbK3mgpZqWmtLnS5Tucx0LM4T7QP8dlc3HQMTAFRFgpy7rJL1TZVsaK5iQ3MlK+vLCPh19K/bnCq0zzjkT0RqgIeAXcCbgFXAP2GN8f5UjusseiMTs+w8PsJLx0fYeXyUl46NcLBvHANEgn42tlaz6ZIaNrZW6zhrdVolAT/Xrmvk2nWNDESn2Xl8lD3dYxwZHOfZQ4PMxq0Gm0+gtixEQ0UJLTWltNaU0lobYXltKU1VESojASpKglRGAtrN4gJnbGmLyCeAjwIrjDGjyW0fBT4LLE1tOxU7WtoTMzF6R6dZXlvq2o96U7NxBsZnGIhOMxCdYWB8hqHxGWIJg98HPhH8PsEYODY8yeGBcXZ3jXFs+OVLluvLQ6yoK6Otrow1jeWsb64kqC0ilQOxRIKu4Sk6BsbpGpliZHKWofEZ+qPT9I5NMx07ebX4SNBPa22EpqoINaVBqktDVJcGqY4Eqa8ooakqTFNVhMaKEm2550DGLW3gRuCBeeH8Y+CLwNXAvbkp8fSmZuM8sLObX7/QxWP7+piOJSgr8XP+smouaK3mgpYqlteVEvL7CPp9BAM+gj458X3AJ4T8Pnw+IRZPMBVLMDUbT96s76djCaZjcaZnk19jiRNvXr8IvmTYJoxhZGKWoYlZ680+McPwhPV1aHyGwYkZxqfTn14zFPCxtDJMa22Eq9bU01ZvBXVlJGjXP6cqcgGfj9ba0gW71YwxjEzO0jc2zeD4DBOzcSam4wyMW4F+ZHCC3V0xotMxJmZOfp/7BOrKS6gpDVIZCVIS8DEbNyQShnDQT2nIukVCgRPflya/j4T8lJcEqAxbLfuKcJDKcIBQwPpPINXSTzXVUg1/QRCBkoCv4D8NpBPa64BH5m4wxhwRkdYcGIQAAAsWSURBVInkfbaE9v6eMQ71W62A3V2j/OqFLqLTMWrLQly9toHldaUcHpjgYF+UOx8/SCzN2dB8ArmcOK0s5Kc8HKS8xE9ZSYDltaWcu6yKykiQqrD1pq0MB6iMBKkIB/D7hEQCEsaQSH7KKS/Rj53KPUQk2YoOnXHfeMIwPh1jeHKWwfFpBsZnGByfYTA6w/hMjPHpOCOTs1ajR4SRyVmmY69sJE3Nntyqz1TQL1RFgoT8VniLWA0tn1iNo3DQTyToJxz0Ew76CPitxl3A7yPotz79BnzW96n7/D4fAb9Y2+bc5/fN2+bz4fcLwTn7r2+qyvnFT+mEdg3Wycf5hpL32eILv97NY/v6AOtj2VVr67nx3CY2tlafdEXfTCxBe1+U/rFpYglDLJ5gNvk1ljDMxhPE4oZYwvo56PMRCvgoCfgoCfoJ+VPfW19Dfh+hgJ9QwPplABgDcWNI9SZVhgOUhwMEfPoxUKlsGGOYjiWYnIkzORtnciZOdCZGdMpqzUenY8TiCcyJ/U9+PFh/n9HpONGpWWbjxtrfWF8TxjATMyc+QY9OWf95xOPGyoyElRFxY17OiuR92XjoQ1ezurE8q+eYz5YzWSJyG3Bb8seoiOzN9jn3AHe8/GM90J/tc3qEHmth0mMtTK841jVfzOq5Viy0MZ3QHgKqFthek7zvJMaYO3hFxuaWiGxZqIO+EOmxFiY91sKUj2NN57P9Hqy+6xNEpBUoTd6nlFIqT9IJ7d8A14vI3NmGbgUmgcdsqUoppdSC0gntbwLTwM9F5HXJ/urPAl8+0xhtG9nW9eJCeqyFSY+1MNl+rIu5jP3rvPIy9s+mcxm7Ukqp3LF9wiillFK547pBxiKyXkQeFpEJETkuIp8TkTOOTheRKhH5nogMiciIiNwlInX5qDkTmRyniFycPMb25OP2ishnRMTV0/pl+jud83ifiGwRESMib7Cz1mxlc6wi8kci8pyITIrIgIjcLyJldtecqSz+VjeJyIMiMpi8PSQil+aj5kyJyGoR+ZaIvCAicRF5NM3H5TyXXDXjUJaTU/07sBZ4L5DAusz+F8CVdtWbqSyO89bkvl8E9gPnA59Pfr3FxpIzlqMJx94LtNhSYA5lc6wi8l6sLsj/DXwEa0jttbjsbzQl02NNjjx7CNgG/Ely80eA34rIecaYw3bWnYUNwE3A08Bi5pfIfS4ZY1xzAz6BNfa7cs62jwITc7ct8LjLAQNcNWfbJcltr3P6uHJ4nPULbLsteZwrnD6uXB7rnH1rgD7gPcnjfIPTx2TH7xUYA/7c6WPIw7G+D4gDVfN+x3HgdqeP6zR1++Z8/zPg0TQeY0suua175FSTU0WwJqc63eN6jDG/S20wxjwLHEre5zYZHacxZqGryp5Pfm3OXXk5lenvNOXzwBPAwzbUlmuZHuvbkl9/YFdhNsj0WINADBifsy2a3ObaCXiMMZlMkGJLLrkttNcx74IdY8wRrP+91y34iFM8Lmn3GR7nlEyPcyGXY33sOpCb0nIu42MVkfOBdwMftq263Mr0WC8F9gLvEZFOEZkVkWdEZLN9pWYt02P9j+Q+/yQijSLSCHwFq9X+U5tqdYotueS20M50cipHJrXKQk7qFZGlWP2H/2qM6c1RbbmWzbF+Dfi6MaY951XZI9NjXQqcjfW7/BjwRqyW6P0isiTXReZIRsdqjDkOXIN1DqYnefsj4HpjTJ8NdTrJllxyW2irNIlICOskRxT4oMPl5JyIvB0ryL7gdC15IEA58B5jzF3GmPuBN2P1877f0cpyTESasFrUW7G6CG5Mfv9rEVnuZG1e4bbQXvTkVFk+zilZ1SvW5Ns/JHlG2xjjxmNMWfSxikgQ+BLWmXafiFQDlcm7y+ZNqeAm2bx/DfBoakOyr3grsD6H9eVSpsf6Eax+7bcYY+5P/gd1C9Z/UF7pBkuXLbnkttDOdHKqkx6XdKo+JadlOwnXP2MNs3qTMcaNxzdXJsdahjXE78tYb+4hYEfyvh/z8slXt8n097obq7U9/0ScYJ2vcKNMj3UdsNMYM5vaYIyZAXZiDRssJLbkkttCO9PJqX4DLBWRK1IbRGQTcFbyPrfJeBKu5Jqd7wf+mzHm9/aVmDOZHGsUq99z7u2Pk/d9EninPaVmLdPf66+SX69JbRCRKuAiXv7Pym0yPdbDwLnJ7j0ARKQEOBfosKFOJ9mTS06Pf5w3rrEG6AJ+C7wOawxyFPjCvP3age/M2/YAcBDrpMabsc7GP+70MeXyOIF3YH2M/h5w2bxbg9PHlevf6bz723D/OO1s3r+/SD72z4DXYwVfH1Dj9HHl8lix/iOaBX6dPM43YAXYLHCB08d1muMtBd6SvD2F9ckg9XPpaX6vOc8lx/8xFvjHWY+1JuVk8k3xecA/b58O4PvztlUnw2wYGAXuZoGLUdxyy+Q4ge8ng2uh27ucPqZc/07n3e/60M7mWLFORH4DGEg+9iHgPKePx6ZjfS3wO2AweXsMeI3Tx3OGY029/xa6tZ3mWHOeSzphlFJKeYjb+rSVUkqdhoa2Ukp5iIa2Ukp5iIa2Ukp5iIa2Ukp5iIa2Ukp5iIa2Ukp5iIa28pzkWn2TItLmdC1K5ZuGtvKU5NwN12OtpfjPDpejVN5paCvPSE5J+3WseS7+DqgXkeuzfU4R2S4ifzZv+1oR+ezciY3O8DxfF5HvZFOLUunQy9hVURORW7Hm7l5l5kwXKiIfAP6HMaYxzedpw5pu81zjnZV2lAdpS1sVu7/BWq5tdt7284GX0n0SY0wH8Hvg9tyVptTJNLSVJ4jI1SJiROSmOdtWikiviPzfDJ9zNbAZ+Nm87b1YCwpfk3xNIyLXpvGU/wG8U0T070rZRrtHlGeIyCNAiTHm1clFAp4EDmGt4BPP4Pn+AvgnoNIYk0huE6zV0f8reV9qgYLtxpipMzzfBcB2YKMxxq2LFyiP0xaB8pLPAJtF5DqsRY1ngbdnEthJFwG7U4ENYKxWTDcQBn5ljHk6eTttYCftxFrr8JIM61HqjAJOF6BUuowxj4vIQ8A9WJPKX2qMiWbxlEuB/gW2n481uf2Li6wvJiLDyedVyhba0lZe04619NNnjDGdi32wiKwTkTuTP4aB6QV2Ox84aIwZn/fYx0Rkh4i8ICI/E5HKBR47nXxepWyhoa08Q0RuwzpBuAN4TybPYYzZY4x5b/LHQazloOY7n4UX1P1DY8wFxpjzgSPARxbYpzr5vErZQkNbeYKI/AHwL8CfA+8DLhORGzN4nm+KyNuTP+4FVi6w2zqsMdevYIwZST6HDyjD6kKZ+9wNWJ8C9i22LqXSpaGtXE9ENgA/Bb5ojPmhMeZprIVvP5vB023EGuEB8ASwPBm2c40CV4nIVSJyWXJESaqW+4Ae4GysS+nn2oQV5E9mUJdSadHQVq4mIo1Yw+4eBD49567PA5eIyOvn7LtNRPoXuN2VvN8HnMXLLeFHsboybpj3sh8HaoGHgV+YOeNijTE3YZ1ofBb4y3mPuwF4zBgzkM0xK3U6Ok5bFQ0RWQd83xhz2ZxtXwVWG2Nef+pHLvhcG4CfGGPOTf7sBw4DHzfG/CiHZSv1CtrSVsVkbtdIypewrnxce7oHikiNiCyZs+kWXnmZ+1uBSeDHuShUqVPRcdqqmJwU2saYThF5N9DE6U8g1gA/EZESQIDdwF/PuV+A9xhjYrktWalX0u4RpZTyEO0eUUopD9HQVkopD9HQVkopD9HQVkopD9HQVkopD9HQVkopD9HQVkopD9HQVkopD9HQVkopD/n/HaatQwoBZZwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7AGU2nZ89mY3V+Xi8fp4+oJsjqJnR0FYxy+831HUMUJ6bZnUpYbOwOJOCDBeP7NS1SNTMaGirmNXcM4zH64+LQcgxDhE2LCjg5SOddA2MWF2OsiENbRWzDrf1A/Exc2S8DQvy8RnDn3T/SDUDGtoqZh08GQjtOXnxFdpz89KoyE3lkZ06i0RN35ShLSIfEJFHRaRZRAZEZLuIfCgaxanEVtvaR1FmCmkup9WlhJUEu0i2NXbT1D1kdTnKZkI50/5HYAD4B+A9wPPAPSLyuUgWptSB1j7m5sXPIOR4GxbkA+hWZGraQgnta4wxHzbG/MEY85wx5gvA/xIIc6UiwuP10dA5yNz8+Azt4iw3i0syeXB7k26OoKZlytA2xkx2ze1OoCz85SgVcLitH78hbs+0ATbVFFLfOciuEz1Wl6JsZKYDkeuBw+EsRKnxDrYGBiHn5aVbXEnkrJufhyvJwYM7mqwuRdnItENbRC4HrgO+d47HfEpEtonIto6OjtnUpxLUgdY+3MkOirJSrC4lYtJcTlZX5vLY7lZd+U+FbFqhLSKVwD3AI8aYX5/tccaYu4wxq40xqwsLC2dVoEpMB0/2MSc3DYeI1aVE1KaaQnqHvTxX2251KcomQg5tEckDngQagZsiVpFKeMaYuJ45Mt6K8mxy05K1i0SFLKTQFpE04HHABVxtjNHJpSpiTvZ56BsejduZI+M5HMLG6gJeONRBp17WrkIQysU1TuB+oAa40hijf8epiKpt7QPie+bIeJfUFDLqNzyqc7ZVCEI50/5v4Crg60C+iKwbd4vfUSJlmdrgzJFECe05eWlUFaTzkHaRqBCEcn3wO4JffzjJfVVAQ9iqUYr4vXz9XC6pKeA3Wxo5dLKfRSWZVpejYlgoF9dUGmPkLLeGKNSoEsze5l4q8+N3fvZkNiwoIMkhOiCppqSr/KmY0jvkpbFriKrCxArtrNRkVs7J4eEdzYz6/FaXo2KYhraKKftaegGYX5BYoQ3wtppCOgZGeOmIXpCmzk5DW8WUPU1joZ1hcSXRt2puDtmpydy79YTVpagYpqGtYsre5h6Ks1LIcCfOIOQYZ5KDTTUFPHewnfZ+j9XlqBiloa1iyu4TvVQlYNfImEsXFTHqNzy0Q3e1UZPT0FYxo2tghOae4YTsGhlTlpPK4pJM7t16XNfZVpPS0FYxY29zoD97QYLNHJno0kVFNHQNsfXYKatLUTFIQ1vFjL3BQcjKBO4eAVg7P480VxL3vaEDkuqtNLRVzNjT3EtZjjuhroScTIoziQ0L8nlibyu9w16ry1ExRkNbxYw9TT1UJXB/9niXLipiZNTPo7t0QFK9mYa2igntfR7a+kYS8qKayVQVpFOZn8a92kWiJtDQVjFhZ3Bz2+oiPdMGEBEuXVTE/pY+9gUHaJUCDW0VI3ad6MHpkIRbKOpcNlQX4Epy6ICkehMNbRUTdh7vZl5+Gi6nfiTHZKQ4uagqjz/uamb4tG78qwL0N0RZzuc37GnqZUGhdo1MdOniIvo9ozy5r9XqUlSM0NBWljvS3s/QaZ/2Z09iSUkmJVluXURKnaGhrSy387gOQp6NiPD2RYVsbThFfceA1eWoGKChrSy363gPmSlOSrLcVpcSky5ZWIhD4A/bdFcbpaGtYsDOE90sKMpARKwuJSblprm4YG4uD2w/gVd3tUl4GtrKUv0eL0faBnQQcgqXLiqic+A0z9a2WV2KspiGtrLU3qZeDNqfPZWVc3IoyHDxu9carS5FWUxDW1nqzJWQeqZ9Tg6HcNniYl492qUDkglOQ1tZakdjN2U57oTcXmy6Ll1USJJD+P3rx60uRVlIQ1tZxhjDjuPd1BRlWl2KLeSkubioMo8HtjfpFZIJTENbWaaha4juIS81xdo1EqorlhbTO+zlsT0tVpeiLKKhrSyzvbEbgIV6ph2yJSWZzMlN5TebG3QPyQSloa0ss+N4N2muJMpzU60uxTZEhHctL2V/Sx+b67qsLkdZQENbWWZHYzfVRRk49KKaadlYXUBOajI/f7HO6lKUBTS0lSX6PV4Ot/VTo/Ozp83ldPDOZSW8dKST2tY+q8tRUaahrSyx+0QvfgMLi7U/eyauWFqMO9nBL16ut7oUFWUa2soSO453I+iVkDOVkeLk7YuKeHRXC03dQ1aXo6JIQ1tZYsfxbipyU0lz6UU1M3X1eaUA/OR57dtOJBraKur8fsOOxm5qtGtkVvIzUrhscRH3bzvBiVN6tp0oNLRV1NV3DtDnGdVByDC4dmU5InDnc0etLkVFiYa2irodjYFFovRMe/by0l1ctriYB7Y30dg1aHU5Kgo0tFXUbW/sJjPFSWm27lQTDteuLCPJIfzg6cNWl6KiQENbRd2O43pRTTjlprm4cnkJf9zVwr7mXqvLURGmoa2iqnfYy5H2AZ3qF2bXriwj0+3km3+q1TVJ4pyGtoqqXcFND/SimvBKczl576pyNtd18cLhDqvLURGkoa2iantjNw5B94SMgCuWFFOSlcK3/lSLz69n2/FKQ1tF1c7j3czJSyPVlWR1KXHHmeTgxjVzOdw2wIPbm6wuR0VISKEtItUi8nMR2SMiPhF5IcJ1qTjk8xt2Hu/R+dkRtLYqj5qiDP7zL4cYOj1qdTkqAkI9014GXAUcAnRekZqRI+39DIyMan92BIkIH147l/b+Ef7nlWNWl6MiINTQfswYM8cY8wFgfyQLUvFr67FTgA5CRtrikizWVOby0xfr6BwYsbocFWYhhbYxxh/pQlT821LXRUGGi6LMFKtLiXsfXDOX4dM+fvTsEatLUWGmA5EqKvx+w5b6LpaWZiF6UU3EleWkctniYu55/Tj1HQNWl6PCSENbRcWhtn56hrwsLcu2upSE8b4LyklOEr7z1EGrS1FhFJHQFpFPicg2EdnW0aET/VWgawRgWVmWxZUkjpw0F1evKOOp/W1sazhldTkqTCIS2saYu4wxq40xqwsLCyPxFspmttR3UZyVQkGG9mdH01XnlZKblsw3ntDL2+OFdo+oiPP5Da8H+7NVdLmTk7hxzRx2nejh0d0tVpejwkBDW0VcbWsffZ5R7c+2yKaaQqoK0vnWnw4yfNpndTlqlkK9IjJNRN4vIu8HyoHCse9FJC2yJSq7G+vP1jNtazhE+Nt18zjZ5+Gul3T3drsLdVfVIuD+CcfGvq8CGsJVkIo/rxztpCzbTV66y+pSEtbi0izWzc/jZy/WccOaCkqzU60uSc1QqBfXNBhj5Cy3hgjXqGxsYGSUzXWdrJyba3UpCe9Da+Yy6vfz3acOWV2KmgXt01YR9eKhDrw+w+p5GtpWK8pyc9V5pTy0s/nMuubKfjS0VUQ9feAkmW6nrjcSI649v5yc1GS+9th+nQJoUxraKmK8Pj/PHWxn1Zwckhx66XosSHUlccPqOew43sMju3QKoB1paKuIeePYKfo8o6yel2d1KWqcty0sZEFhOl97/ACnBk9bXY6aJg1tFTF/OdCGK8nBeRU6PzuWOBzC312ygL5hL199TFdathsNbRURxhiePtDG8vIs3Mm6tVismZOXxrUry3lkVwvP1rZZXY6aBg1tFRHbG7tp7hlmTaV2jcSq61aWMTcvjTse3Et7v8fqclSINLRVRNzz+nFSk5NYNz/f6lLUWTiTHHzm0mr6PF5u+99djPp0rxM70NBWYdczdJrH97SysbpAu0Zi3Ny8ND6+sYot9V384Bnd/tUONLRV2D28s5nTPj+XLymyuhQVgrctLOTSRUX85Pk6ntjTanU5agoa2iqsjDH8/vXjLChMpzI/3epyVIg+tqGSRcWZfP6+nWyu67S6HHUOGtoqrLY3dnO0fYDLFxdbXYqaBpfTwRfesYiSLDef/O029jX3Wl2SOgsNbRVW//1CHekpSaxfoAOQdpPhdvIvVy4mNTmJm+5+XYM7Rmloq7DZcbyb5w62c/V5ZToAaVP5GSl86d1LcTkdfOgXr7HjeLfVJakJNLRV2HzvL4fISnVy5fISq0tRs1Cc5eY/rl5KusvJTXe/znMH9eKbWKKhrcJiS10Xrx7t4trzy/UsOw4UZKTwH9cspSTLzS2/2cb/vHJMVwWMERraatb8fsN3njpIXrqLK5boAGS8yE1z8R9XL+XCebl87fED/Mcj+/UCnBigoa1m7d43TrDzRA83rK7A5dSPVDxxJyfx+SsWcs2KUn73WiOf+PUb9Hm8VpeV0PQ3TM1Ke5+Hbz1Zy7KyLC6pKbS6HBUBDhE+vHYen9w0n1frurj+J69ytL3f6rISloa2mpWvPn4Aj9fHzRurENGNDuLZZYuL+OK7FtMxMMI1d77KI7uarS4pIWloqxl7al8rT+xp5fpVFZTm6O7eiWBZWTbfun4F8/LSuO3eXdx+/24GRkatLiuhaGirGWnpGeZfHtzLgsJ0rllRanU5Kory0l3827uXcN3Kch7c0cRVP3yZbQ2nrC4rYWhoq2nz+Q2fv3cXp0d9fPbSGpxJ+jFKNE6HgxvXzOHf372UYa+P9/9sC198aA89Q7p9WaTpb5uath8/d4StDaf42IYqSrLdVpejLLS4NIvvvG8FV68o5b43TnDZ917kwe1NOqc7gjS01bT8Zf9J/uuZI2yqLmBTTYHV5agY4E5O4qa18/jm9edRkOHin+7fzYd+8Rq1rX1WlxaXNLRVyA639fP5+3axoDCdWzbN19ki6k3m5afz5WuWccumKvY193HVD1/mtnt30tg1aHVpccVpdQHKHjr6R7jlN9twOR38498s0oto1KQcIly+uJi1Vfk8truFp/ad5Ik9rXzwojncelkNRVnanTZbEum+p9WrV5tt27ZF9D1UZPUOebnxri0c6xzk365aQk1xptUlKZvoHjrNQzuaef5QO8lJwnsvqODjGyr1MxQCEdlujFn9luMa2upcBkdG+cjdr7O3uZfb37mIFRU5VpekbKitz8Mfdzbzal0nXp9hU00BH99YydsXFuFwaDfbZDS01bR19I9w82/eYF9zL5+/fCFrqvKsLknZXN+wl2cPtvNMbRunBk8zNy+NG9fM4b0XlFOarRdojaehraalvmOAj/7PVtr6R7j1shounJdrdUkqjoz6/Ww9dopnatuobe3HIXBxdQE3rJnDFUuKdXlfNLTVNDy6u4V/fWgvDgfc/o7FVBdlWF2SimNtfR5ePNzBS0c66Bo4TZbbyXWryvnAhXNYXp6VsLOUNLTVlHqHvHz9iQM8sL2JmqIMPntptY72q6jx+w37Wnp54XAH2xpO4fUZFhVn8oHVFbzvggpy011WlxhVGtrqrHx+w31vnOA7fz5I37CX61aW894LKkjSASJlkYGRUbbUdfLC4Q7qOwZJdSXxkbVz+eSm+QlzIqGhrSb1RsMpvvLofva39LGkNJOPrq9kXn661WUpdUZj1yCP7W5hS30XToeDG9ZU8HeXLGBOXprVpUWUhrZ6k5O9gc0LHtnVQn66i5vWzmXd/PyE7T9Usa+tz8Oju1t46XAHAB9YPYfbLq+J2/VvNLQVAB6vj1++cow7nz/KqM/P1SvKeM/5ZTpar2yja2CEx/a08mxtG0kO4eaLq/jsZdWkueLrAm8N7QQ36vPz0I5mvv/0YU72eVhTmctH1s5LmP5BFX/a+zz8YXsTrx7tpDzHzdevW85li+NnY2kN7QRljOHP+9v4zz8f4mjHANVFGdy4eg7Ly7OtLk2psKht7eOXrxyjuWeYK5cV8+X3LIuLC3U0tBPM6VE/fzlwkl+8VM/upl7Kc1K5YfUc1lTmar+1ijujPj9P7G3loZ3NOB3CF96xiI9uqLT1DCgN7QTg8xu2N3bz9IGT/HFnCx0DIxRlpnDdqnIuqSm09QdYqVC093n41eYGdp3o4fyKbL79/hUsLsmyuqwZ0dCOQ4Mjo+xv6WPXiW62HuvmjYZT9A57cTqEFRXZXLGkmPMrcnRBHpVQjDFsruvit681MOjx8ZF1c/n8FQttd3HO2UI7pOFWEVkK/BhYD/QAdwNfNcb4wlqlmpTfb2jpHaauY5Ajbf3sa+5lb3Mv9R2DjP2TW5LtZuWcHM6vyOH8OdlxN5KuVKhEhI3VBayoyOaB7U387rVGHt7ZzCcuruKj6yttF1uU2qwAAAxwSURBVN4TTXmmLSK5wH7gAPBtYAHwPeAHxpgvTfUGiXimbYzB5zf4jMHvB78xOERwOCBJhCSH4Dcw7PUxfDpwG/KO0j3opa3PE7yN0Nbn4VjnIPWdA3i8/jOvn5fuoqog/cxtfkE6OWn2/iAqFSknTg1x3xsn2H68m9TkJK5bVc71q8pZPS83pv8KnXH3iIh8EfhnYJ4xpi947J+BrwAlY8fOJtqh7fMbGroGae4eprV3mMERH35jEBFSk5NIdTmCX52kJieR5krC5XQw6jOM+v14fYZRn59Rv8HrC3w/dHqU4dM+Bk/7GBoZZfC0j95hL33DXvo8XnqGvIHvPV4GPKOM+mff5eROdpCX5qIoy01ZTiplOW7KslMpy0klOzU5DP+nlEosTd1DPL6nldfquxgZ9VOa7eZtCwvZWF3AhfNyKc12x9Qg/WxC+yWgxRjzwXHH5gKNwHuMMY+d6/mRDu32fg+7T/Sy83g3O4/3sLuph6HTke21cTqEjBQn6SlO0lxJb/nqdEjgzFoEhwT+XDPG4DeBs26/MYDgTnaQ4nTgcibhdjpIT3GSm+4iL81FqksvdlEqEjxeH9sau3m9vova1j4Gg3mRm5bM8vJslpZlsawsm/kF6czNTyPLbc1J0mz6tBcDz40/YIw5LiJDwfvOGdozdbitn87+ETyjPka8fjyjPjxeP6cGT9PaO0xj1xC1rX10DpwGIMkhzMtL4+LqAuYXplOc6SY/w0VqshOHA/wmMA1uZNQX/Dp28+EdNSQ55MzNGbwlOQRnUiBYU5wO3MlJpCQ7cDp0f0Sl7MqdnMTF1QVcXF2Az2841jlAXccgDZ2DHD81xJa6rjf9tZydmsy8/DTm5KaRm55MTqqL7NRkstOSyUxx4gjmhcMhZ7o/x27Ly7LDfgIWSmjnEhh8nKg7eF9EfPNPtbxwqGPS+7JTkynOSmFNZR4LCjNYUpLJwuJMUvRSbKXUNM3NS+NtC//6vdfn53jXEE09w7SM3XqH2dvcS58n0C0aag/oM/94CdVF4d0PMyJTDETkU8Cngt8OiMihSLzP0+e+uwDojMT7xgBtm33Fc/u0bRPUfHtW7zlvsoOhhHY3MNk1z7nB+97CGHMXcFfIpUWAiGybrD8oHmjb7Cue26dti45QOmcPEui7PkNE5gBpwfuUUkpFSSih/STwThEZ3zFzIzAMvBiRqpRSSk0qlND+GTACPCQiVwT7q78CfH+qOdoWs7R7JsK0bfYVz+3TtkVBSGuPBC9jv5M3X8b+Fb2MXSmloiviC0YppZQKH9tdJSIiS0XkWREZEpEWEfmaiEw5QVtEskXkVyLSLSK9IvJ7EcmPRs2hmknbRGRNsF1Hg887JCJfFpGY25Jmpj+7cc93iMg2ETEicnUka52u2bRNRN4rIm+IyLCIdInIUyISM7srz+J3brWI/EVETgVvz4jI2mjUHCoRqRaRn4vIHhHxicgLIT7Psjyx1VJwwcWrniGweNW1/HXxKgcw1eJVfwAWArcAfgKLX/0R2BSpeqdjFm27MfjYbwNHgBXA14Nf3xfBkqdllj+7MbcAFREpcBZm0zYRuYVA1+N3gNsJTKW9jBj53Zxp24IzzJ4BdgD/J3j4duBpETnPGNMYybqnYRlwFfAaMJ3r1a3LE2OMbW7AFwnMDc8ad+yfgaHxxyZ53nrAAJeMO3ZR8NgVVrdrlm0rmOTYp4Jtm2d1u2bbvnGPzQU6gJuDbbva6jaF42cH9AOftLoNEWjb3wM+IHvCz9AHfNrqdo2ryTHuvx8AXgjhOZbmid26R94F/Nm8edbKvUAq8LYpntdmjHlp7IAxZitwLHhfLJhR24wxk12ltTP4tSx85c3aTH92Y74OvAo8G4HaZmumbbsh+PU3kSosDGbatmRgFBgcd2wgeCxmltIzxvinftRbWJondgvtxUy4oMcYc5zAv/qLJ33GWZ4XVDvF86Jppm2bzHoCf7LVhae0sJhx+0RkBfAJ4AsRq252Ztq2tcAh4GYRaRIRr4i8LiIbIlfqtM20bQ8GH/M9ESkSkSLgBwTO2u+PUK3RYmme2C20Z7p4lSWLXk1TWGoUkRICfY2/M8a0h6m2cJhN+34M3GmMORr2qsJjpm0rARYR+Hn9C3ANgTPTp0SkONxFztCM2maMaQEuJTCu0ha8vRd4pzFm8pXg7MPSPLFbaKtzEBEXgQGSAeAfLC4nLETkgwSC7RtW1xIBAmQANxtjfm+MeQq4jkC/72ctrWyWRKSUwBn1dgJdBu8K/vcTwfX41QzZLbSnvXjVLJ8XTbOqUQJbbvyW4Gi4MSZW2jVm2u0TkWTguwRG5h0ikgOMba2dPmFpBSvN5nNpgBfGDgT7jrcDS8NY32zMtG23E+jXfr8x5qngP0jvI/APUqx2c4XK0jyxW2jPdPGqtzwv6Gx9U1aY7cJc/0VgSta1xphYadN4M2lfOoEpft8n8MvQDewO3ncvfx1wtdpMf3a1BM62Jw7MCYExiVgw07YtBvYbY7xjB4wxpwnsN7sgAnVGk6V5YrfQnuniVU8CJSJy8dgBEVkNzA/eFwtmvDBXcB/PzwIfMca8ErkSZ2Um7Rsg0C86/vah4H3/CtwUmVKnbaY/u8eDXy8dOyAi2cCF/PUfJ6vNtG2NwPJglx0AIpICLAcaIlBnNFmbJ1bPk5zmnMpcoJXA/gdXEJiPPAB8Y8LjjgK/nHDsz0A9gcGQ6wiM2r9sdZtm2zbgwwT+xP4VsG7CrdDqdoXjZzfh/kpib572bD6Xfww+96PAuwkEYQeQa3W7Zvm5vBDwAk8E23U1gUDzAudb3a5xdaYB7w/ethD4S2Ds+7Rz/NwsyxPL/6fN4H/yUgJ7Vg4HP0xfB5ImPKYB+PWEYznBYOsB+oB7mOTCFLu1Dfh1MMQmu33M6jaF42c34f6YC+1Zfi4zgJ8CXcHnPgOcZ3V7wtS2y4GXgFPB24vA261uz1k+T5PdKs/RNsvyRBeMUkopG7Fbn7ZSSiU0DW2llLIRDW2llLIRDW2llLIRDW2llLIRDW2llLIRDW2llLIRDW1lO8E9/YZFpNLqWpSKNg1tZSvBNR7eSWBPxf+yuBylok5DW9lGcPnZOwmsf/FVoEBE3jnb1xSRXSLy0QnHF4rIV8YveDTF69wpIr+cTS1KhUIvY1cJTURuJLBm9wIzbhlREbkN+DdjTFGIr1NJYFnO5SZ2d9hRcUDPtFWiu5XA1mzeCcdXAPtCfRFjTAPwCvDp8JWm1FtpaCtbEJG3iYgRkavGHasSkXYR+dEMX7Ma2AA8MOF4O4GNhC8NvqcRkctCeMkHgZtERH+vVMRo94iyDRF5DkgxxmwMbhawGThGYLce3wxe7++A7wFZxhh/8JgQ2CX9+eB9YxsV7DLGeKZ4vfOBXcBKY0ysbGKg4oyeESg7+TKwQUTeQWADYy/wwZkEdtCFQO1YYAOYwFnMScANPG6MeS14O2dgB+0nsAfiRTOsR6kpOa0uQKlQGWNeFpFngIcJLD6/1hgzMIuXLAE6Jzm+gsAi+HunWd+oiPQEX1epiNAzbWU3RwlsEfVlY0zTdJ8sIotF5O7gt25gZJKHrQDqjTGDE577oojsFpE9IvKAiGRN8tyR4OsqFREa2so2RORTBAYIdwM3z+Q1jDEHjTG3BL89RWDbqIlWMPnGuu8xxpxvjFkBHAdun+QxOcHXVSoiNLSVLYjI3wA/AT4J/D2wTkTeNYPX+ZmIfDD47SGgapKHLSYw5/pNjDG9wddwAOkEulDGv3Yhgb8CDk+3LqVCpaGtYp6ILAPuB75tjPmtMeY1AhvgfmUGL7eSwAwPgFeBucGwHa8PuERELhGRdcEZJWO1/AloAxYRuJR+vNUEgnzzDOpSKiQa2iqmiUgRgWl3fwH+fdxdXwcuEpF3j3vsDhHpnOT2++D9DmA+fz0TfoFAV8aVE972DiAPeBb4oxk3L9YYcxWBgcatwP+d8LwrgReNMV2zabNS56LztFXCEJHFwK+NMevGHfshUG2MeffZnznpay0D7jPGLA9+nwQ0AncYY/5fGMtW6k30TFslkvFdI2O+S+DKx4XneqKI5IpI8bhD7+PNl7l/ABgG7g1HoUqdjc7TVonkLaFtjGkSkU8ApZx7ADEXuE9EUgABaoHPjbtfgJuNMaPhLVmpN9PuEaWUshHtHlFKKRvR0FZKKRvR0FZKKRvR0FZKKRvR0FZKKRvR0FZKKRvR0FZKKRvR0FZKKRvR0FZKKRv5/+GKQwglufUVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for j in range(1, len(list_of_hist_1)+1):\n",
    "    sns.kdeplot(pd.DataFrame(list_of_hist_3[j-1], columns=['j=' + str(j)])['j=' + str(j)], \n",
    "                shade=True, legend=True) \n",
    "    plt.xlabel(\"$\\hat{x}_{-i}(t_{3})$\", fontsize = 15)\n",
    "    plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## f(k,j) as a function of j (user's opinion)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_size = 7\n",
    "labelsize = 15\n",
    "plt.figure(figsize=(fig_size, fig_size))\n",
    "plt.rcParams['xtick.labelsize'] = labelsize\n",
    "plt.rcParams['ytick.labelsize'] = labelsize\n",
    "x = (threshold_values[1:] - threshold_values[:-1]) / 2 + threshold_values[:-1]\n",
    "plt.grid(True)\n",
    "plt.plot(x, results[0, :], color='red', marker='^', label = 'k=1')\n",
    "plt.plot(x, results[1, :], color='blue', marker='*', label = 'k=2')\n",
    "plt.plot(x, results[2, :], color='green', marker='v', label = 'k=3')\n",
    "plt.xticks(np.arange(0, 1.1, 0.1))\n",
    "plt.yticks(np.arange(0, 1.1, 0.05))\n",
    "plt.ylim(0.4, 0.55)\n",
    "plt.xlabel(\"$\\hat{x}_{i}(t_{k})$\", fontsize = 20)\n",
    "h = plt.ylabel('$f(k,j)$', fontsize = 20)\n",
    "h.set_rotation(0)\n",
    "plt.legend(loc='lower right', fontsize = labelsize)\n",
    "plt.savefig('image.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Populations of U(k,j)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>$t_{1}$</th>\n",
       "      <th>$t_{2}$</th>\n",
       "      <th>$t_{3}$</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>37283.000</td>\n",
       "      <td>38893.000</td>\n",
       "      <td>39644.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22729.000</td>\n",
       "      <td>24052.000</td>\n",
       "      <td>25229.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>27053.000</td>\n",
       "      <td>28658.000</td>\n",
       "      <td>29745.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>33328.000</td>\n",
       "      <td>34700.000</td>\n",
       "      <td>35927.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>42784.000</td>\n",
       "      <td>44234.000</td>\n",
       "      <td>46039.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>58347.000</td>\n",
       "      <td>60297.000</td>\n",
       "      <td>62509.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>82924.000</td>\n",
       "      <td>85141.000</td>\n",
       "      <td>87832.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>120048.000</td>\n",
       "      <td>123965.000</td>\n",
       "      <td>126995.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>196397.000</td>\n",
       "      <td>200019.000</td>\n",
       "      <td>202236.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>320525.000</td>\n",
       "      <td>314831.000</td>\n",
       "      <td>309295.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>229185.000</td>\n",
       "      <td>223408.000</td>\n",
       "      <td>218337.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>144429.000</td>\n",
       "      <td>141771.000</td>\n",
       "      <td>138866.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>100785.000</td>\n",
       "      <td>98949.000</td>\n",
       "      <td>97963.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>74056.000</td>\n",
       "      <td>72766.000</td>\n",
       "      <td>71775.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>56123.000</td>\n",
       "      <td>55406.000</td>\n",
       "      <td>54665.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>42954.000</td>\n",
       "      <td>42341.000</td>\n",
       "      <td>42197.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>32008.000</td>\n",
       "      <td>31579.000</td>\n",
       "      <td>31513.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>22330.000</td>\n",
       "      <td>22131.000</td>\n",
       "      <td>22107.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>13156.000</td>\n",
       "      <td>13203.000</td>\n",
       "      <td>13372.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>4483.000</td>\n",
       "      <td>4583.000</td>\n",
       "      <td>4681.000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      $t_{1}$    $t_{2}$    $t_{3}$\n",
       "1   37283.000  38893.000  39644.000\n",
       "2   22729.000  24052.000  25229.000\n",
       "3   27053.000  28658.000  29745.000\n",
       "4   33328.000  34700.000  35927.000\n",
       "5   42784.000  44234.000  46039.000\n",
       "6   58347.000  60297.000  62509.000\n",
       "7   82924.000  85141.000  87832.000\n",
       "8  120048.000 123965.000 126995.000\n",
       "9  196397.000 200019.000 202236.000\n",
       "10 320525.000 314831.000 309295.000\n",
       "11 229185.000 223408.000 218337.000\n",
       "12 144429.000 141771.000 138866.000\n",
       "13 100785.000  98949.000  97963.000\n",
       "14  74056.000  72766.000  71775.000\n",
       "15  56123.000  55406.000  54665.000\n",
       "16  42954.000  42341.000  42197.000\n",
       "17  32008.000  31579.000  31513.000\n",
       "18  22330.000  22131.000  22107.000\n",
       "19  13156.000  13203.000  13372.000\n",
       "20   4483.000   4583.000   4681.000"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(populations.T, columns = ['$t_{1}$', '$t_{2}$', '$t_{3}$'], index = np.arange(1, N+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Estimated Probability of Going Left Having Friends on the Left and on the Right"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_EP(N, t_1):\n",
    "    #N = 10\n",
    "    threshold_values = np.array(range(N + 1)) / N\n",
    "    Minimal_Interval = 1 / N\n",
    "\n",
    "    #t_1 = 1\n",
    "    t_2 = t_1 + 1\n",
    "\n",
    "    x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "    x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "\n",
    "    fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "    results = np.zeros((2, len(threshold_values) - 1))\n",
    "    populations = np.zeros((2, len(threshold_values) - 1))\n",
    "    \n",
    "    conf_int_l_1 = []\n",
    "    conf_int_l_2 = []\n",
    "    \n",
    "    conf_int_r_1 = []\n",
    "    conf_int_r_2 = []\n",
    "    \n",
    "    for j in tqdm(range(len(threshold_values) - 1)):\n",
    "\n",
    "        thresholds_j = (threshold_values[j], threshold_values[j+1])\n",
    "\n",
    "        if j:\n",
    "            cond_self_position = (data[x_1] > thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "        else:\n",
    "            cond_self_position = (data[x_1] >= thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "\n",
    "        data_sample = data[cond_self_position]\n",
    "\n",
    "        cond_friends_left = data_sample[fr_1] < data_sample[x_1] - Minimal_Interval  # friends on the left\n",
    "        cond_friends_right = data_sample[fr_1] > data_sample[x_1] + Minimal_Interval  # friends on the right\n",
    "\n",
    "        cond_left = data_sample[x_2] < data_sample[x_1] - Minimal_Interval  # go on the left\n",
    "        cond_right = data_sample[x_1] + Minimal_Interval < data_sample[x_2]  # go on the right\n",
    "\n",
    "        LL = data_sample[cond_friends_left & cond_left].shape[0]\n",
    "        LR = data_sample[cond_friends_left & cond_right].shape[0]\n",
    "        RL = data_sample[cond_friends_right & cond_left].shape[0]\n",
    "        RR = data_sample[cond_friends_right & cond_right].shape[0]\n",
    "\n",
    "        if (LL + LR):\n",
    "            res_1 = LL / (LL + LR) \n",
    "        else:\n",
    "            res_1 = None\n",
    "\n",
    "        if (RL + RR):\n",
    "            res_2 = RL / (RL + RR) \n",
    "        else:\n",
    "            res_2 = None\n",
    "\n",
    "        results[0, j] = res_1\n",
    "        results[1, j] = res_2\n",
    "        populations[0, j] = LL + LR\n",
    "        populations[1, j] = RL + RR\n",
    "        \n",
    "        if LL + LR >= 30:\n",
    "            conf_int_l = proportion_confint(LL, LL + LR, alpha=0.05, method='normal')\n",
    "        elif LL + LR > 0:\n",
    "            conf_int_l = proportion_confint(LL, LL + LR, alpha=0.05, method='binom_test')\n",
    "        else:\n",
    "            conf_int_l=(-1, -1)\n",
    "            \n",
    "        conf_int_l_1.append(conf_int_l[0])\n",
    "        conf_int_l_2.append(conf_int_l[1])\n",
    "        \n",
    "        if RL + RR >= 30:\n",
    "            conf_int_r = proportion_confint(RL, RL + RR, alpha=0.05, method='normal')\n",
    "        elif RL + RR > 0:\n",
    "            conf_int_r = proportion_confint(RL, RL + RR, alpha=0.05, method='binom_test')\n",
    "        else:\n",
    "            conf_int_r=(-1, -1)\n",
    "            \n",
    "        conf_int_r_1.append(conf_int_r[0])\n",
    "        conf_int_r_2.append(conf_int_r[1])\n",
    "    \n",
    "    \n",
    "    fig_size = 7\n",
    "    labelsize = 15\n",
    "    plt.figure(figsize=(fig_size, fig_size))\n",
    "    plt.rcParams['xtick.labelsize'] = labelsize\n",
    "    plt.rcParams['ytick.labelsize'] = labelsize\n",
    "    x = (threshold_values[1:] - threshold_values[:-1]) / 2 + threshold_values[:-1]\n",
    "    plt.grid(True)\n",
    "    \n",
    "    plt.plot(x[populations[0, :]>0], \n",
    "             results[0, populations[0, :]>0], \n",
    "             color='red', marker='^', label = 'Friends on the left')\n",
    "    \n",
    "    plt.fill_between(x[populations[0, :]>0], \n",
    "                     np.array(conf_int_l_1)[populations[0, :]>0], \n",
    "                     np.array(conf_int_l_2)[populations[0, :]>0], color='lightcoral', alpha=0.5)\n",
    "    \n",
    "    \n",
    "    plt.plot(x[populations[1, :]>0], \n",
    "             results[1, :][populations[1, :]>0], \n",
    "             color='blue', marker='*', label = 'Friends on the right')\n",
    "    \n",
    "    plt.fill_between(x[populations[1, :]>0], \n",
    "                     np.array(conf_int_r_1)[populations[1, :]>0], \n",
    "                     np.array(conf_int_r_2)[populations[1, :]>0], color='lightsteelblue', alpha=0.5)\n",
    "    \n",
    "    plt.xticks(np.arange(0, 1.1, 0.1))\n",
    "    plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "    plt.xlabel('$\\hat{x}_{i}(t_{' + str(t_1) + '})$', fontsize = labelsize)\n",
    "    plt.ylabel('Estimated Probability of Choosing the Left Direction', fontsize = labelsize)\n",
    "    plt.legend(loc='lower right', fontsize = labelsize)\n",
    "    plt.savefig('image.pdf')\n",
    "    plt.show()    \n",
    "    return populations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t1->t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9102fccea8f24c50be76ba684a567983",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 10\n",
    "t_1 = 1\n",
    "\n",
    "populations = plot_EP(N, t_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "12c885b084294b46bfbd86a1b9bc3a35",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=40), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 40\n",
    "t_1 = 1\n",
    "\n",
    "populations = plot_EP(N, t_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "584242802d0d456fb1d3d329f3cd9d36",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=20), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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KisJrVNFEgshxxyHxeC6+lEEz0OONlwIFwGdUtQF4XkSGAzeJyG3pY125PP26T6tqHYCIVANPiMg8VX13III3DMMYSlzPp6qupcuZrm1WrQh3DMm2wbfXziCRCLJ9O1MXLMA//XSC007bc11TE9bo0TgdZr4OVd0mShH5I/AdVV2f/ntGqvqFLJ73CeDZTglxAXArcCbwZDevOxZ4ty1Jpj1P2B18LmASpWEYRidVdemxSavrLNiUCHcN+cR5qazv6e/cGe4MMmIEqOL85CcEkQj+N7/Zfo36Pvg+0WOPHdJdrm0ytSjHAG1TlMaSmzHKmYRdqO1UdYuINKfPdZco40Dnf0kPCICjchCXYRjGAcX1AqpqW/baIaSzVSsdVCXrHUM0lSLVtjOICPbixdhLl/LB5Zdz6OjRe65rbCRy1FFYw4b1+evIB6Kakzk62T1MxCWcgHN3p+PbCEvhfbeb1/0E+CIwRVXd9LGTgDeB51X1H7p4zTeAbwCMGzfu+AULFnQbVyKRoLi4eP++qH6Uj3HlY0yQn3GZmLKXj3HlY0yQfVyuF+D6QbdjkwB/enQKDz04g9//4W+MGOHucz5QJepYOHa6uk5LC5pMIo5DpK6Oky6/nKYpU3j1llsoblv6EQThLNhBTpLZfJ/OPvvsJao6r6d7DZU1kQ8A/w78TERuIpzMcy/gE7Yq96Gq9wP3A8ybN0/POuusbm/+8ssvk+n8YMnHuPIxJsjPuExM2cvHuPIxJsguLtcLKNtYTSxid9vtCrB9ZxETJvkcO39ul+ebkx4TRxUxvrQQv7qa5N/+hpSUIJZF5K67sFpbKbj2WoojEU4uLg4n8NTVETv9dOwOLczBkMt/vx4LDojIGSLyOxHZICJN6Y8NIvJbETmtp9d3UguUdHF8ZPpcl1S1nLB1+P+ACmAF8DawDNjZyxgMwzAOaLvr0zNdMyRJgFUrbOZmsX6y884g1ltvdV+mburUQU+SuZYxUYrIDcDLwBnAa8BPgXvSfz8TeEVEul3W0YVywrHIjs+YTFjMoDzTC1X1YWAccDRh3dl/I9zm681ePN8wDOOA5no+lbXNGWe6AtTWClu32MzJoiJP284gUlAQlqm76659y9SlUuA4RGbN6vPXkG8yzXo9DbgZuIWwIEDQ6bwN3Ei4ofNLqvp6Fs97BrhGRIapamP62D8CLcArPb1YVVsJ684iIl8hTPQ9zsg1DMM4GASBsqEi/NXaU2ty9crsdgzRpqa9dgZxHn4Yqawkdc897WXqUCVoaiJ2wglILNbHryL/ZGpRXgosVtUbOydJAFX1VfV7wLPAZVk+7xdAElgoIh9JT7i5Cbiz45IREflARB7q8PlwEblVRM4VkY+JyI8JK/p8U1Vrsny2YRjGAUtV2bYrQVNLKuNM1zYrl4ftpNlzMyRKVdwN69t3BmkrU+eddx46d8+4pgYB9rhx2JMm9fnryEeZEuV8wjWOPVlAWI6uR6paS7jxs024FORmwrJ0N3a61Elf08YHPgT8hrDu7DnA51X1V9k81zAM40C3q66VXfUtFMScrNYulq20OXSaz/CS7lc+BI2NYZdrYSF4HpE77ti3TJ0fJtro0UcfEGsmu5Jp1ut4YGMW99hIWEouK6q6GvhwD9dM7fR5E7DPEhDDMAwDGptTbN2VoCCaXZIEKFvucMJJ+y4JaaPJJFpXhxQUIOJiP/oo1vr1YZm6DssutKEBKSzEysOlNLmSKVEWEnaT9iRFWBDAMAzDGGCtKY/1O+qJRawexyXbVFUKlTutbncMUVX8yspwPaRtI9s24fzqV/uUqQuam5HhwxG7567eoayndZSniEhP83xn9nDeMAzD6AeeH7BhRwOCtBcFyMaqlZl3DAnq6tDmZogXQZDEufNOiERwO5apCwJIJonOnw8rVvTtC8lzPSXKO7O8z8CV9zEMwzBQVTbvbCTp+hTEelc7ZuVyG8tSjpq9b4tSUymCqiqIRgEoXPw09nvv4f7Hf0DHMnUNDTjTp2OXlvbtCxkCMn13pw1YFIZhGEbWVJUd1U3UNSUp7GWSBChb4TB9RkBh4b739XfuDLtcLYv4+rWU3vEjgpkz8T/1qT3XJZMQixGZeXB0KHb7HVbVzQMZiGEYhpGd2sYkO2uas57h2pEqlK2wOeucLmq71tenu1zDaSczbrgKfJ9g4kSw0vVeVdHmZqInnYSkW50Huuw7tQ3DMIxBF6iyubKReMTOWPC8Ozu2W9TWWPsUGlDXbe9yFWDE4ieJb9+CAPbf/w414ZJ1bWzEnjABe0LWix2GPJMoDcMwhoiU55N0A2xbsHsxeaejsuXhDNWOE3nau1wBsSzsulom3PnDPZNPfB/nkUdQzwMRIgfwmsmumERpGIYxBPiBsnFHA6gSdfZ/OUbZSodIRDly5p4WZdDQQNDUFE7gUWXSj2/GSiZpS4XiedjPPINu2UJk9myszoObBziTKA3DMPKcqrKtqpGmVrfPLbmy5TZHzPSJpkuyqusSVFYi6S7XkhefZfgbf2sfk2wXBESfeAJn6tQ+PX8oyipRprfa6rLsgogUi8gZuQ3LMAzDaLOrroXdDa29XgbSWRDAqjK7fXyyvbCAKmJZOLt3MeHuH+PH4kiwd4lv8TzsDRuQzgn0IJDtd/2vhPVc3+7i3JHp8wd2aQbDMIxBUJ9Isq2X5em6s3mTRWOD1b61ljY2EjQ2httnqTLp1pux3BQfPLyA1CFTaMFmvDYzqnYnzowZRGfPzsWXNORk+9Yg079OMdCcg1gMwzCMDlpTHht3NhCN2FmXp8ukLL1jyJyjfdR18XfuRGIxBBj55EKGvf06Oy/9d1KHdNiMOZVCCgqIHHFEn58/VGXaj/IM4KwOh74uIh/vdFkcOJf0HpGGYRhGbnh+wPodDYj0rjxdJmUrbeJxZfoMD7+yqr3LNbJjG+PvvZPE8SdRc/7n93qNplJET/gQ0rb35EEoU9frScCVHT7/PNC5MGAKKAeuyXFchmEYB61AlU07G0i6/n5V3ulO2XKHo2b72C2N+I0NUFAAvs8hP7oRbJvt/3nj3pN4XBdr1GisMWNyFsNQ1O3bFFW9XVXHqOoYYDNwVtvnHT4mqeo5qvrewIVsGIZx4FJVduxuoqEpRUE0d1M/PA/WrLKZPScVTuBJz3Id9affUbRiKRVXXos7dvyeOHw/XDM5bdpBtWayK90mShHxReSE9KcvAw0DEpFhGMZBrKaxlcra/StPl8mGDyxaWoRZh9ZAECC2TWzjesY9+HMaTjubuo+d236tqoatydGj4SDucm2TqeM7BaRX2nAxcHC3vQ3DMPpZU4vL5p0J4lE75624shVhF+7sybsgFgPP5ZAf3kBQWMT2q/8LOj4vmcQqLQ1nwxoZxyhXAzeJyOOEs14/JyLzurlWVfW+nEdnGIZxkEi5Put31BNxLOx+WKu4cplFUaHPodN8BJuxv3mIgrXlbL7lDvyRe7bKUteFWCxsTbpBhjsePDIlyiuB/wXuItxv8uoM1ypgEqVhGMZ+2lzZSKBKPJL7JemqStl7MGtGAjtiEy9fzZjfPETtP5xL4xkf3nNdEEAQ4EycmC4sYBIlZJ7M87qqzlXVCGGLcr6qWt18mGIDhmEY+ynl+jQ2u8T6IUkCJGubeP+DGLOPakWSrRzywxvwSkdR8c1r269RgFQKa+xYJBbr9l4Ho2zb92cTdsUahmEYOdbQnAK0X2aXqu/z/psNuK7F7CObGffgvcQ3b2T7dTcSDBu258JkEikqwhoxIucxDHVZJUpVfUVVEyLyCRG5QUTuF5Ep0F4HdmK2DxSRWSLyoog0i8gOEfm+iPT4NkpE5onIcyJSk/54QUROyva5ByJVxd26NRxTMAxjyKppTOasqEBHqkpQtYuyNeGknBP0LUY9+luqz/88iRNO3nOd74NlYY8ff9AvBelKtkXRx4nIW8CTwFeArwGj06f/Bbghy/uMBF4gbOWfD3wfuAq4uYfXTU6/zgH+Kf3hAM+LyKHZPPtA5G3aROrNNwl27x7sUAzD2E+uF5BocYk4/ZAom5sJ6utY9UEJI4a7zP/fq0hNnMTOy7615xpVSKXCJGmWgnQp25IPPyOs6ToT2ES4dKTNC8CNWd7nUqAA+IyqNhAmuuGEs2tvSx/ryrnAMOBCVa0HEJHXgd3AJzkIJxJ5lZW4y5YhkQh+VdVBtdu4YRxIEi1hj1CuW3Lq+/gVFRCJsOr9Qo6LlRGtqmDjzx5COy77SCaxRpYixV1uEGWQ/Rjlx4HrVfUD2LPpddo2YFKW9/kE8GynhLiAMHmemeF1EcLyeU0djiXSxw66foKgoYHU228jRUVIURF+RUX4rtAwjCGntrEVOwcFzzsLdu0Cz6PVdVi/McYpu/7C7osupnnuse3XqOtCNIo1dozpcs2gN239znVe24wGWrK8x0zC2rDtVHUL4e4jMzO87s/pa34iImNFZCzhspVa4NEsn31A0NZWkm+8AbaNRKPgOGhrK9psNnAxjKHGDwLqm1JEc9ztGjQ1EdTVQSzGuuUBfmBx9NjtVH31svZrVBV8v8NSEKM7kk1LRESeAqKELUsAFzheVZemzzWp6heyuI8LXKOqd3c6vg14RFW/m+G1xwJ/YU/rtQL4hKou7+b6bwDfABg3btzxCxYs6DauRCJBcR52O3QVlyYSqO8j9p75T+p5WEVFA1Jqaih9rwabiSl7+RjXQMTkB0rS9bF60ZpLtTYTjRd2f4EqmgpHx0SEd771Ad9bfyWP3/xLYseFtVwVwjJ2EQfs7kfgAlWijtXjRKOh+u939tlnL1HV7grptMt2jPI64DWgDHiM8Pt8iYjMBuYC87O8z34RkQmELcclwNfTh68AnhKRU9Kt0r2o6v3A/QDz5s3Ts846q9v7v/zyy2Q6P1g6xqVBQGrJEvy6un2mbweJBHZpKbHjjx/QmPJJPsZlYspePsY1EDFt3tlAbSJJPJr9DiGbyt9j6szj9jmunkdQXU1QWwsFw5BolOEvPcdv109kXGEd08/q0OWaSiHxOPbkyRm7XJuTHhNHFTG+NENi5sD/98t2eUgZcDzwLvDPgA98hnB88iRVXZvl82qBki6Oj0yf6841hOOUn1PVxaq6GPhsOo5MFYMOCKqKW16Ov20bUrLvt0/icfzKSjNOaRhDSBAotYkUUadvRQY0CPBravA2bGjvbpVoFKd6FxPv+hFvR0/jqGP3/G5Q3wfAnjDBjEtmKeu3Maq6nnBZRl+U02ksMr30o5BOY5edzARWqWr7gkFVTYnIKmB6H2PKe97WrXjl5ciIEV3+xxbHQZua0EQC6biA2DCMvNXU6hKoYu3nRB5VRRsb8auqwj20otE9Y42qTLz9FhItEda60/jozB3hYQDXxZ440SwF6YU+j+CKyGdFxM/y8meAj4lIx9/m/0g4GeiVDK/bDMwRkWiH58aAOYTLVQ5Y/u7duO+9hwwfnnnAXRW/pmbgAjMMo0/qm1L7PWU/aG7G27wZf8cOEEHi8fbfD071LmZ8+UKGv/EaL3zqFgDmzExP9mttxSopMW+oe2mgpzr9AkgCC0XkI+kJNzcBd3ZcMiIiH4jIQx1e9yAwEXhMRM4VkU8BjwMTSI9DHpCCgOSbbyIFBYjTQ+M/EiHYuXNg4jIMo09UlZqGVqKR3v0K1mQS3BT+li3guhCP7zWxD2DcfXcT3baF1KgxvDH2UwDMPrIZ9TyIRMJarqbLtVcGNFGqai1wDmATVvm5mXCZR+eCBU76mrbXLSGccTsM+A3wCGF37Ue7m/U61GkyiSYS4bvFLAoUSzyOv2tXWP3fMIy81pL08ALNejst9Tz8ykq8jRvDn/F4HIlE9mmRDvvbi4x4YTECOI31rF7pMGl8khElHnhe2OVqmz0seiv7qVY5oqqrgQ/3cM3ULo69CLzYT2HlFfV9km+/jaqGyz6yILaN+j7a0ICYosaGkdey7XbVICCorSOo3g2q4USdlLX3a1Upfvt1xvzmIYpWLttTEUaV1cssZp/YHFbfGT0Gy2zEvF8GPFEamakq7rJlBNXVvX/nlx6nNNX/DSN/hd2uyYy1XTNO1GkTBAx/7a+M+b+HKXh/DW7paNR2ED+sDVPjDiHi+8AAACAASURBVGeLO5bPTyxHCgqwRpV28SQjG90mShH5Y5b3OCRHsRiAt3Yt3ubNyMiR0NTU8ws6kFiMoKICDjusn6IzDKOvkq5P0vMpiO77RlhV0ZYW/MpKSCYhEkHi8b2uEd+n5LmnGPPbXxLftIHkpMlsv/Z7xNeUMXLxk7RNrXyXcB39aRt/jz3hcjMu2QeZWpRjsrxHEvhbDmI56Hlbt+KuWoWUlOzff+pYDL+6ep/KPYZh5I+G5hTovkXQNZkM5xkkEuA44Thkh/OSSjFi8ZMc9tuHKNy5k9Zp09l6ww+pP+sj4DhMX/gHrA5b7rUlyvm7FlMX/RbG/us2Uarq2QMZyMHOr64m9d57yLBh+53kxLLC/efq67FLTTeLYeSjzt2uqkrQ0BDOWhfZN0G2tlD65EJG/+E3RHZVUX/4DDb/4BoaTz0TOnTHrn/o93s958X/PJSp25PUvvDMwbdzRI6ZMco8ECQS4TKQWKzvi4BVCaqrTaI0jDyUcn2aWz0KYuGbYQ0Cgl27CWqqw4k6HRKflWhk1GN/ZNSjv8Wpr6PpmOPYft2NlB8xlUNKMm+rp57H6rXFnHhaYLpcc8AkykGmqRTJN98E1X3GIvaHxOP4FRVEZszIQXSGYeRSQ3MKUEQkXPKxYwfa3IzT1MiU665k640/Rm2bUX/6HaMe+wN2IkHjiaew65++RvPRH0rfpPv10grgeVRVClXVUeYea3YVygWTKAeR+j7Jd95Bm5qwuqjhul9iMYLaWtR1TYkqw8gztY1JHNtCW1vxtm0D34d4nLH33kXhiqUces2/Edu+Bau1lfozPsyuL3+V1iNn9XhfVYVUqn0JyZrd4RzLuUd3tzui0RsmUQ4SVcVdsYKgqiqn6x5FJBzzqKvDHpPtfCzDMPqb5wc0NqeItTbhVVaGe8rGYjhVlZT+ZSGiSnz9WhrOOIeqr11GcmrPs9fV98MKPSJYw0uwRpRAPM6qPxdg28rM2dlWFzUyMYlykHgffIC7cSPWyJG5H0MQwd+92yRKw8gjjU1J/Lo6gtrd7eORdm0Nh132FSS9o4c6Dt7I0oxJUknvNxkEYUm6ceOxhhXvVeaybIXD4Uf4mPoCudGrEnYSmiwip4hIdiVjjH34u3fjlpWFxYn7YaC9bZzSMIz8oK2tVK0ox6qvD2e1WhaFK5Zy+Fe/QGR3Vft1lucxcvETONW7972H7xO0tobzGYqLsadMwTnsMOyRI/ZKkqpQtsJm9lzTmsyVrBOliFwObCfcyeNV4Mj08YUiYhbp9II2NYU1XPtrrWM0ijY2hgWUjYOCeh6plSvxd+409X7zTFBXR9Mrf6MhGRCJOQgwasEjTPvWN5BkErU7dewFAWN+/QAQTs7RVApNJ0h77Niwu3biRKzCwi7faG/falFXazH3GDM+mStZJUoRuQa4E3iAsE5rx3+dlwm3yjLyRNsPT1BXN8iRGAPFffVV7IsuIvnMM7Q+/zzupk1oh8XnxsBTVbxt22h95RWacSAawWlsZMr1VzPhvrtpOO0s3HETsPy9E5rluhSuWh6+0W1tRQqLsCdPxpk+Pb3sK3Mv1N9fCxPvpMnmDVOuZDtGeQXwPVW9TUQ6N4PeB47IbVhGn4ngV1Vhjxs32JEY/cyrrERuvRVrzRqiixbhXn457rJluCtX4hx+OM6hh2IVFg52mAcVDQLc1avx1q5Fhg2jITqMovfXcPiNVxOp3EnFlVdT/dn/FxYYaHsNhBNzfB9sG6u0FGv48F7PXl/wmxigPP9MhNPPNK3KXMg2UY4HlnRzLgD6vgDQyCkpKMCvqEDnzDELjg9g2tpK6vnnKXjxRUQV+5ln8C6+GCktRT0vrB28di32IYcQmT59sMM9KGgySfLdd9tntKsIkSef5LCf3YpfMpIN9zxAy5xj9n6NF26DJUVF4QS/oqJe/9wee8QIksk9r3n093Ee/X2cWExZttb0LvVFtonyA+BMut7m6gxgdc4iMnLDcdD6erS1FTFT3w5Iqkpq6VKiDzwQ7jABkEoR/fd/x/3Od+Coo5CSEjQI8HfswN+6FXUc/MpKrDFj9t2NwuizoK6O5FtvockkMmIE0tqKddfdHPr8czSeMJ9t1/83/oiR7dcrhMXPbRt7ypRetfxVYesWi3ffcnjnLYfSUQEVO/Z0+MXjykc+nuLa/2rJ4Vd4cMo2Ud4N3CsiKeBP6WNjReRrwLeBS/ojOGP/iUg4EaC2FjNH/MDkbdyIv3o10VdfbR+1EoBt24hdcQXBjBn455+Pf845yLBh7Vs3Jd94AykowDnySJxJk0xhihxQVfzt20ktWYJEo2GX6ZYtRG68Edm8me3/chm1//RV6DCBT4MAUimkeBj2+HF7zVzt+hmwfp3Fs3+ZxMafF/Hu2w6VO8M3OyNLA+ad6DF+QsCy9xyi0TD/FhcrY8ZqxvsaPcsqUarqgyIyEvgecHP68NNAM3CTqv6un+Iz+sK28aqqsCdOHOxIjBwL6utxV64k9tOfItrpF6Hj4M+ahTQ0ELnjDpz//V/8j38c/7zzkBEjsIYPR1MpM46ZI+3jkevWIcXFSCSC9dJLRG6/HWIx1t9+L00nzMfes6VyONEqCLDGjcMaMYJdVRZX/VsRd/68qT2x+T6sLbd55y2Hd99yePdth9oaCyhhzNiAE+Z7nHCSy7wTPabPCBCBK79RxEVfTvKFL6b44++i7KoyvQa5kHXBAVW9XUR+AZwCjAJqgDdUtb6/gjP6RgoKCCoq0GOOMeOUBxD1PJLvvIPU12OVle1zXjwPaW4m9fDDyIoVOI8/jr1wIc6jj3L0ccdhfeYzBPPnh+NnXYxj7vc2bwehoLmZ1NKl4XhkSQnieTg//SnO448TzJ5Nw403UzvuCAoIu8YVoLUVolGcyZPb6zvfd0+cJe843HJDAcd8yOedtxzee9ehsSFMdJMO8Tnzw2FSnDBmOSeffRRd/RP97P49e9h+7wemyzVXelWZR1UbgWf7KRYjx8RxCJqa0KYmpLh4sMMxckBVcVetQhsbid17L8RiJB96iGDcOLSuLiyLFo+HlV9E0GOOwT3mGNi9G/uppyh+4gmi11+PjhuH9+lP4597bpgwO4xjWqWlRI480oxjdkFV0aYm/F278LdsIaitBcsKW+qVlURuvhmrvBzvC1/Au+QSGiJ7fu7aulqtkhFYY8cgtr3PBJznF8d4fjGIKJ+7KMUJJ3kcf6LLxEl7WqObylu6TJJG/8k6UYpInHDiziHsO8tVVfW+XAZm5Igqfm0tlkmUBwR/50689etx3nkH+623cK+4Ap04Ea2rw5k1CyksxPvgg3Ail2WFsydtG0aPxv/KV3jz/PM5Zfly7EWLiDz4IM6vf01w5pl4F1yAzpqFAsGWLXDZZbRefz3O/PnhOGY0Othf+qBRVbShAb+qCm/LFrSxMSwY0tRE7NZbcW+8EevNN4n86EcQBKRuvpngjDNQoFbiOPhhyTnAnjgx3HM2nemee7We235QwNNPRlEVIhHlrHNcbril2Ywt5pGsEqWInAb8GeiueKgCJlHmo0gk3BB28uTBjsToo6ClJdzc23WJ3HsvwezZ+BdeGM5sLiwkMmMG4jg4U6ag9fV4W7bgbd6M+j4Si0E8jjoOwZlnhslx0ybsJ57AfvZZYi+80D75R9aswVqzhsjvfkeqoCAcx5w6FWfaNKxhwwb72zAgNAjA90mtXh3OFm5pCZNjPN7eNe08/DDWypVE//M/sdatIzj8cNybbkInTQIghUUKIdbajBQUYE+YsM8bjrHjlLDojuA4iufBqNGBSZJ5JtsW5T3ABuAfgNWqakp+DBESj+NXVaGqZtxpCNMgIPXeexAERO+7D1pacK+5BrUstKWF2CmntM+aFBFkxAiiI0YQmTULv7ISb8MGgupqNL0PojgOOnUq3je/iff1r2O/8AL2448TueMOlHD2rP3cc1j/8i/osGF4GzfibdiAPXYszowZWKNHH3D/n9T3CWpq8HfswNu2jcDz8D74ACkowOq8w8/27dhPP42oIuvW4Z1zDt4110As1n5Jg6sgLvao0VijSrvtxi5f42DbyiN/aOTJx80EnHyUbaI8EviMqi7v6wNFZBbwM+BkoA54ELhZVbut4CsiNwE3dnP6u6r6o77GdaAS20Y9D21sRIYPH+xwjP3kbdhAUFWFvXIl9iuv4H7ta+ihh6KNjdgTJmCNHdvl68RxcCZNwpk0iSCRQF57LawdmkhAJIIUFiKFhfjnnYf/6U/j3HAD9uuvh2sRUimil1+Od801BMcdhwJ+bS3+3/+OFBaGy0smThzSy0vUdQmqq/G2b8ffsSPckUMk/L6o7hmyUEW2bsV6+22st97CWrKkfbax2jYUF7cnybZlOHVF44mOH489rPv9I1JJaKwXPvnpFB+a5/OheWYCTj7KNlGuIKzO0yfpJSYvEBYoOB+YDvyEsObs9Rle+iCwuNOxC4DrgGf6GtcBTxW/pgbLJMohKairwy0rQ0SI/vSnBIcfjn/RReFehEFAZO7crFp3VnExEo9TcMYZBLt3h+swKyoIICyw3diI/c477QlAACoriV59NcHUqfgXXoj/0Y/CiBFoMom7dCnuihU406eHy0uK+m9DIVUNiyq0bUelGibztqUxHT/vdEy7uCZobSXYtg2/Kr1zh22HybHDOkertRVr5cowMb79NlZ6R55g0qSw9Fzb98n3sRcvxrv4YnT48HA8c8Ik3BFTKCjMPLb78osRGhoszv9sKkffKaM/ZJsoLwN+JSKbVPWVPjzvUqCAsHXaADwvIsOBm0TktvSxfajqNmBbx2MicgNQrqrL+hDPwSEaDccpp04d7EiMXlLXDZeCxGJE7rkH6upwf/zjsPJSXR2Ro47qdYISy8IeOxZ77Fi0pQWvogLvgw+wH3wwbFF15Dj4c+ciiQSRu+7CeeAB/HPPxb/gAnT8eNT38datC5eXTJiAc/jhWKWl+90tq56HtrSgzc0Ezc0E9fVofT3Bli3EfvxjktdcAyP3VLbpmLC6PdbVNaphi3rYsD1doqrIli3trcbTli/Hdl00Hif40Idwv/AFgpNOwl6wAPvpp/f+Xvk+9sMP415yCZFjj6V51HioTPT4fXjisShjxgbMP9XUZM1n3SZKEdkFdPzfVQS8lK7O09j5elXtuu9nb58Anu2UEBcAtxKWyHsym6BFZBTwUeAH2Vx/sJN4HH/XLjQIzHT/IURVccvK0OZmnPffx1m8GO9LX0JnzAhLpBUU4PSxfqsUFBA57DCcadPgqqsQb+9f2OJ5SGMjqfvvR8rKcP78Z+xHH8V+9FGCU0/Fv/BCgmOPDbtld+3Cr6hAhg3DOeIInAkTuqw2o76Ptra2J0NtaEATCZqfeSYsJ9OWXFTBcZBIhOijj4ZF3x9/HO9bfdzVr7qa6Pe/T+rGG8Pi40uX7ulSbWs1TpnC9k9+knGnnUZw9NHQYRKOtXp1l98nu7wc+6yzsEpKqN1Wh2Nn/lmrrRFeeSnCxV9N0l877hm5kalF+XP2TpS5MBN4qeMBVd0iIs3pc1klSuCzQAT4fW7DOzCJZaFBgNbXIx3fjRt5za+owNu0CYlGidx5J8GUKWH3XnotX7TDBJ6+EhFYuRII9z/0duzAW7cu3Ds1Egm7YefOxZ07F6qqcBYtwv7LX7BffZVg2jT8z3wG/yMfQYuKIJnEXbIENxIhcvjhSFERQWMjWlcX/tncvHcytO2wNRePh5sad2yFpVJIeTn2M8+ERd+feopg2jQYNix8nQhY1p4/2/7e4Zx2Om///vfIihVEL70UqatDumg16oQJfJBIMKaLZVWpB9J7RapCMom2tOBMnUpkzhwkEsHzAxItLvFo5uz39BNRPE84/7Nm39h8J9q5S6I/HybiAteo6t2djm8DHlHV72Z5n5eAElU9PsM13wC+ATBu3LjjFyxY0O39EokExQO5zjCVImhu7vGXXML3Kc7RW031PKSgIFwm0AcD/r3KUj7G1aeYgoCgsRERYcb99zPp6ad577bbaJg5M1zu4TjIfowJ9jomz0OTybDkmkjYI5FOZFYyydhXX+WQJ55g2MaNuMXF7PjYx9j+yU+SHDuWaHU1s267jVVXX02qrTu2LQl2SIZ2czO6fTujqqooqKgIP3bupKCigtju3fuW6MsRBXZ87GPsOvVU6mfPJui0dGOfn7/OY56Ek+UkFoMOE5r8QEm6PlYP3a7f+uY8XNfi5/e93au4U63NROMDU24wUCXqWD22jofqz9/ZZ5+9RFXn9XSvbNdRvgRcrqrlXZw7AviFqn44m3v1lYhMIOymvS7Tdap6P3A/wLx58/Sss87q9tqXX36ZTOdzzdu8mdTSpT0WAXgjkeDkHP3n05YWpKiI+Gmn9ek+A/29ylY+xrW/MWkQkPz73wksC3vDBmJPPYX3uc8xe968sNsykSB+5pn7VURif2MKEolwXeb69eF2UAUFYbWnCy6A888nuXIlzsKFTHnsMaY89hjBqaeiQYC9Zg3zFy3C+8pXkB07kO3bsXbsaP+77NiBdNpgXEeODIsoHHss3siROAsX7tXVqZEIqdtvh+HDw3FC1XCSj2r4eduxIAiTbIdz9sKFWO++i/g+OA7j4nFGnX56l1/zG42NzI9E0NbW9mNWSQnW+PHYo0djlZR0OeN3Q0U9jU0usQwtyo3rLd5/v4Trrm9m6szjevVvsan8vV6/Zn81Jz0mjipifGnmxHwg/fx1Jdt+m7OA7qZMDies2JONWqCki+Mj0+ey8QXCCXl/yPJ6AyAWI6ipaV9DZ+Qv74MPCHbvDscP77iDYOJEvK9+FQBtbAwn8Azwu3eruJjorFlEZswIJ/+sXUtQVxeOIRYVwdFH4x59NFRW4jzxBPYTTyCJBAD2okU4ixa130tFYOxYgokTw4Q6aRLvl5YyY/p0dMIE6NBSdu66a99gVLH/+tesxir3aotWVxNZujRMkqTHFdOzVSktDVuKrhsmxiAI44xEcKZMwR41CmvEiB4rFPmB0tCUIhrJ3BO0aGEUy1LOPd/Mdh0KevMbc5/+DxGJAh8GdmZ5j3LCsciO95gMFKbPZeMi4DVV3Zrl9QbpcUpVgvp67FGjBjscoxt+TQ3u6tXI8OFEHngAa9s2Uj/5CRQU5GwCT19IJEJkyhScyZPD9YcbNoQbhENYLm/cOLxLLoH6euzFi8OkZFn4s2bhf/GL6KRJ6Pjxe02OAdiVSHB4F8m/u4kzVllZexdotjNsnUce2XdWr+9jP/gg7r/+a3ivoiKc6dPDFuPq1RScfXaW35lQU4tLEJCx2zUIwtmup57umQo8Q0SmWa83Em6rBWGSfDPDf8jbs3zeM8A1IjIsXWAd4B+BFqDHZSciMhWYD1ye5fOMToLdu02izFOaSpFKLwWx1q3DfvRRvHPPDRf7q6LNzUTnz8+LHgERwR49Gnv0aIKmpvZuWU3vXGI///yellsQYK1bh3vkkVBa2vUNVVHPC8dE038iQusdd+x5Znqnjbb1ozQ0hK8LA+oc4L4xr1zZ9WzVDRuwTjopbDHGO5SxXrOm19+X2kSSniaWv/uWQ8V2m6uuM8UFhopMP3FPA7sJuznvISwMsKnTNSnCtYyvZvm8XwDfBBaKyK3AYcBNwJ0dl4yIyAfAK6r6tU6vvwjwgEezfJ7RgcRi+Dt3EjnyyMEOxehEVUmtXIm2tmIVFoZ7GZaW4l16aXg+kcAePx57fJ/rfuScVVRE9Kij2rtl5Yorumy5Ob/+Ne7ll+9JhKrtCa2toIAUFWEVF2MNH45VUIAUFIQzYWOxLpc2acdxyfSHdhqnbP/8zTfx05+LZWGVlEA83uOkm2wFqtQ1Jok6PXe7FhUrH/4HUwl0qOg2UarqO8A7ACLSCPxFVav78jBVrRWRc4D/IVwKUgfcRZgsO8fV1f+2i4AXVXV3X+I4aMViBLW1qOsO6bJjByJ/+3b8zZuRkSOxH3kEa8MGUj/8IRQX97oCz2ARxyEyeTK6dWvX6zHLysLW8ujRWMOGhV218TgSj2O98w4F+zHxQtqWgnSYnTpY36HmVg9flZjVfQQtLfDs01E+9okUBQUDGJzRJ1n14ajqr3P1QFVdTTiumemaqd0cPzZXcRyMRAQVIaitxe6mNqgx8IKmJlJLlyLDhmFt2oTzf/+Hf845BCefDIQTeJyZM4fMVmmydGn737WlJeyOjcexI5Eu3/0eKOoTyR6T9EvPRWhKiClZN8SYMi0HIX+3aZDnC/V9Uu++275GMXLbbVBcjHvlleH5ZBKJx4kcfvggR7p/pKAgbD0e4D0YqkpNY5JoJPOv1EULY0yY5DPvJFOybigxifIgIwUF+OkyXcbg0iDAXb2aoKYGKSrCfvRRrPLyMEmWlLRP4Ikcc0xeTOAxuteS8nG9ADvDTJ5dVcLf/+Zw3gWpHif8GPnF/PQdbCIRtL4+3Oy34ww/Y0BpayvJd98l2LULKSnB2rYN55e/xD/1VIL0kgRNJLDGjcvLCTzG3uqbUiCZl3o8tShKEAjnfcZ0uw415n3NQaatjFjQqRqKMXD8mhpa/vrXsCU5YgQCRO64AyIR3G99C0TaJ/BE83wCj5Hudm1o7XG26xMLo8w9xuOww4OM1xn5J9sSdlMynA6Ahu62yDLykGXhV1WZlsoAU1W8DRtwV64MZ3um9we1Fy3CWrEC99prYfTo8NrGRpwjj8QaNmwwQzaykHR9kq5PQYaSdWvLLdasdrj+5uYBjMzIlWy7XjfRw04iIrIFuEdVu6g5ZeQTicfxd+5ETWtlwKjrklq2DG/bNqzhw8MNgquriV5/PbJpE/68efgf/3h47RCfwHOwaWwOu1Iz/SwtWhjDcZRPnme6XYeibBPlFwn3jCwDngB2AWOA84E5wA+BecBtIoJJlnnOccJxypYWpHBgdiE4mAUNDSTfegttbg6rv6R/oTqPPIKUl4Nt4111Vdjl2laB56STDviZogeK6oYkkQy7a/g+PPlYlDPOdhlZakrWDUXZJsqPAE+o6pWdjv+viPwMOEVVLxaRBHApYREBI091XE9pmUTZr7ytW0ktXQqOE1aCaVNdjf3UUwhhV42ma59qIoE1diz2hAmDEq/ROynPpznpZex2ffPvDruqLM43k3iGrGwn83weWNTNuScIW5YQ1nI9tK9BGQPAtvErKwc7igOW+j7a0kLq3XfDtYSd3pBEbrqpvRYqIjiPPLJnAs/RR5su8SGioSmbbtcow4cHnHWOKVk3VGWbKFuBU7s5d2r6PITVo5r6GpTR/9rHKQdw4+6DRdDcTPLVV8Oxxi72LLR/8xvssrL2z9u2e9ItW3BmzDATeIYIP1AqqpuJOt3/Gm1KwAuLo3zi0y7Rvu2ZbgyibLte7wduEJFRhDVaO45RXko4RglwCrA810EauSeOgzY1oYkEYn4x54xXWUnqnXeA8HvcuZC3/dhjRB5+GBUJNxVu4/tE/vxnnC9/eSDDNfpgd30LrhdQGO/+1+jzi6O0tAjnXZgcwMiMXMu21usNIlIDXAP8G+GwihDuQ3lNh8k7fwAe7o9AjX6gil9ba1owOaBBgLduXbiXZGEhEotBeuPiNvbjjxO55x60sBBp3nuZgHgezqZNZgLPEOF6ARXVTcQyjE1C2O06eYrPh+b5AxSZ0R+yrsyjqneJyE+BycB4wiS5VVWDDtesyn2IRr+JRAh27oQpmZbJGj3RZJLkkiUElZVI29KPTuxFi4j89Kf4p5yCe9NN0CEhBo2NWKWlxE45ZQCjNvpiZ00zqmBn2ClkZ4Xw1usOV3yrtavtMY0hpFcl7NJJcXP6wxjiJB7Hr6pq35/P6L2gtjZc+pFKhVV2uviNaD/xBJG77+4ySZoJPENPa8pjV10L8Vjm1uSTj0dRFT59oZntOtRlnShFZCLwKeAQoHORUFXV63IZmNH/xLbD2ZmNjUjHpQtGj1QVb+NG3BUrwj0W01V2OrP/8hcid92FP38+7o037pUkAbShwVTgGUJUle27mxAh44bPqrDozzGOm+cx5VBTsm6oy7aE3YXA7wk3U64COr9FUsAkyqFIFb+mZu81fkZG6rqkVqzA27Il3EKqm509Jjz7LJH/+R/8k07CvflmSK+VbBMkEsiIEUSOOGIgwjZyoKnVoy6RorCH1uTqMpv162xu+qFZBHAgyLZF+UPgOeCfVbWmH+MxBlo0SlBRAdOmDXYk+wjq63HXrsUqLcWZOrXLsb+BpKr4O3fiLl+OJpN7VdnpzH76aWa2Jcnvf3+fJKnJJIgQO/FEs4XWEKGqbNuVIGJLj93kixZGiUSVj3/KrJ08EGT7EzoZuNIkyQOPxOP4u3ejvj/oiahNkEjglpfjb90KjoO/fTvexo1Ejz0Wa9SoQRnLC5qacFeuxK+oQAoLM7bA7WeewbnjDqqPO46irpKk56EtLcROOw2rqKi/QzdypC6RpKnVpTCW+dem64Zban34Iy4lJWad8oEg20T5OnAk8EI/xmIMArEsVJWgvh67tHRQY9HWVty1a/E2bADL2mtyjLa0kHz1VezJk4nMmjVgpffU98OxyNWrQaTbCTttrMWLcW6/neD44yn7znc4qXOSVCVoaCB67LHY6Z1CjPwXBMq2XU3EInaPb9Re+1uEmmqr1/tOen6AbfXcWjUGXraJ8tvAb9O1XJ8H9tnMUFXN/jFDlSpBdfWgJUpNpcJk9P77oBouseg0C1cKCiAex9+xA7+igshRR+FMm9avrWC/pobU0qVoQwOSYSyyjfXss0Ruu43g+ONxf/ADAnffbjetrycydSpOHnZ1/3/2zjs8jvLa/58zZZu6XOQCuGFjY2MDdmjBpt3AJblpEAjJTSG/JARuGhB6CSW00AMkJJCGSYgpgQBJaIGAIYReYzAYcJHcLatvmZ2Z8/tjVrJka6VVl+35PI8eSTPvzBxpBSKIdQAAIABJREFUd+fMe95zvickP4WIC7Ty0P0RKip9Dj6k8LCr7yupjIttmcS6qc0MGXwKrQl4C9gL+B1QDTR18hUy2NTWEvnhD2Fz3yLiEovhrV3bT0YVjrou2Y8+IvX442TffRcpKsIoK8tbqiIiQYuqeJzsf/5D+qmngvKWfpbh00wG5803yTzzTLAWWVHRvZN84gnsn/4Uf999yV52GUS31Svzm5owysuxw1KQ7Yqs67OmtoVopPvbZWOD8NQTNp/6jLN1xL1LMlmP8uIovq+hrOQwpNAZ5f+jm36UIYOPtXAh8vbbWAsX4p56au9PFI3i19WhrjsoiSXq+7irV+MuWYKm00hREVJcXPDxYllIeTmaTpP5178wx48Hv+8p+KqKt3o1zptvgusGOq0F1JcaTzyBfdVV+Pvsk9dJajoNpkkkTN7Z7lhf1you0P174bG/2zgZ6VHYVVVRhV1GFbN8XSOup9hW+CA1nChUwu73/XVBEdkTuBk4kCCE+2vgElXtVuNJRI4BziXogZkEXgaOVdWdLwe7thbz739HVDEfeQT3a1+DXoZORQQF/Pr6AV03U1X8DRtw3n47qN0sKsIoL+/1+SQWg2gUb/16fN8n+/77WJMn98oR+U1NOG+9hbdhA0ZREVJgko3xj38ETnLOHLKXXw6xrUuMc8k76TTR+fPDtmbbGWnHY0N9quBw6IP3R5g8xWPW7MIl6xzXp7TIJh61GFORYMW6RuwuhNZDBp9BfTVEpIIgIUgJBNUvBX4EXFLAsd8C7iJo5XU08C1gGT1UF9pRsBYuDDrCAnhe8Hsf8TZt6vM5OkNV8WprySxeTOb558F1g3BmT2JTeRCRoJbRMMi+8w7pJ5/E7UFXFHVdsu+9R/qpp/A3bw5KPgq0y3jqKewrr8SfPTu/k1RFGxux994bc8SIHv1tIUPPmtoWDLoWF2ilZpXBqy/ZfOYYp0eSdZ6njK4IHqDKi6OYpoHXDxGSkP4jr5MRkZcI6ibfEZGX6Sb0qqr7FXC9k4E4cIyqNgJPiEgpcLGIXJ3b1pktIwmaQX9fVW9vt+uBAq6541Fbi/noo23dJ8TzMB99tG+zylgMb8UKHMCIxwNR70gEyX1h271aV/MbGsi++y7eunXB+brJGu01Ihi5cKzz739jjh2LPWsWRp6Qrqrib9qE88YbaEtLkKxTaGJQbS2R009HqqvR2bPJXnEFxOOdXQRtaMCaMgVrQtimdXvDV6W+KUO8G3GBVh56IHjA+nQPOoW4nk/UNimJB4pNhiFUVSRYU9tCIhrOKocLXc3GlgCpdj/3xxrl0cBjWznERcBPgUMIWnh1xvG573f0gw3bPdbChduuyeVmlb1eq4xE0FQKN5d5us0jsQgSjaLZLJmXXw46ZMTjSCzW5kwlEgmcoWEEdYfvvYe3ahWYZrDeNwgJLG3h2I0b8Z58EmuPPbB3371DOFbTaZwlS/BWrQqaKvcw/GtfdRWyahWMGIFz5ZWdO0mCtVijshJ71qwweWc7Q1XJuj5mAeICwfgg7Lr/gVnGjS/8VulkfXarKu5wjRGlMdbUtuCrFjSTDRl48jpKVf1Gu59P7KfrTQee2uo6q0QkmduXz1HuD7wHfFNEzgeqgNeA01T1+X6ybbvBeOcdxHU7bBPXxVjS++YtIoJ0sX6mqkGoN5PB27gRXHeLs27/YVYNCuyz2cC5dlLqMdCICFJSEtRALl2Kt2IF9uzZmGPG4FZXk337bfD9Xs1ujccew3jlFQTQpiZIpTp1lJpKISJEP/axYSPkEFI4Dc0ZPF+7bMrcnjdeM1m1wuQ73013PziH7yuGIVQUd0z+si2DEaUxNjemiXcjbhAyOEhvU5Fz640TgHdVtaBYg4hkCfpX3rjV9hpgoaqel+e4xwiaQjcCZwG1ue/zgKmqur6TY04CTgKoqqqau2jRorx2NTc3U9yDrMs+4zj4yWS3SSfNnkdxnpts+Vtvsc/557PkjDPY8/rrWXnccSwfhKa/XdkEBI6ylUF8Gu7SLt9v65Civh84rl7YVvbOO+x97rmI7yOAZ1msPfJIlp1ySseBqqjvkzQMioeZ2Pmgv9cLZLjZlXY8nHSSSKyw5Ktbbt6Dfzwxlj/+6VmKigpL5PFVsU2j08QdVUg5bqczyp7Y1Vd8DR4WLLPrB4bh9vpBYTYddthhr6rqvO7OVago+iVAVFXPyf1+OPAgkADWiciRA9yLUoBi4DhVfTRnw/ME7b6+B1y49QGqehtwG8C8efP00EMPzXvyp59+mq729zfuypU4r7+ed/2slX83N3NgnjFmLvFmysc+hj97Nru98AJjTj65323tiU1DSXd2qWowy+3lWqssX07kkkuCmWhum+m6jH/ySUZ+85tta8Pq+2h9Pfa8efzro48G9X1VCIP9Xi+U4WTXhvoUNRua2bDiLSZO37fb8U4Gnnu2jP86ymXm3DkFXUNVSTkeMydWErW3fcBTVZbV1JN2PCJb7V+x9LWC7OoPkhmXcSOKGFPZtWMeTq9fK/1pU6Exsf8Flrb7/TrgOeDjue1XFnieOqAzkcyK3L6ujlPg6dYNuXXOV4E9C7z2DoXU1KDRKIwcib9gAcbKlcjKsE1oPkQkWEftjZNct47IWWcFoeetowDtMo61NXln6lSsXXftD7NDBhnX81m7qTBxgVae+adNQ4PBZ48tPIknk/WoKIp26iQheL+OqSzC9cLs1+FAoe+GccBHACKyKzAHuEhVXwCuBw4o8DxLCdYi28idL0FHR7w17xLMKre+ywmwU76TpLoaHT8eDAPv4IMBMBYvHmKrdkDq6rDPPBMyGXT06C7XhrW5GWPUKOw99wyTd7ZT1tcl8VQLEhdo5cH7I4wc5XPgwW73g8llXPvKqIrOk8BaKUnYRGwzdJbDgEJXipvYMhM8HKhT1Zdyv6cJHF0hPAKcKSIlqtoqe/dFguzaZ7o47q/ARcBhwN8BRKQMmAtcW+C1dyikpgadMiX4ZdQo/JkzMRcvxvvqV4fWsB2JZJLIOecgGzfiXHstOmtW3qGaSiG2TXTevDB5Zzsl43isr0sRyzPL64y6OmHxUzb/+/XMNsGGfLieTzxqU9SNbmwwq0ywan1zt2uEIQNLof/9Z4BzRORTwBkE65OtTCPQfy2EXwIZ4H4R+a9cws3FwPXtS0ZE5AMR+U3r76r6Su6avxGRr+fseAjIAj8v8No7Dq6LrFmDtgvveQsWYHzwAbJmzRAatgPhONgXXoh88AHZiy/u2klms6jjED3ggKA8JWS7pE1cwCgsGrBhvXDCZ0vIZoXPHlu4ZF3W9amqiBcUdSgvjmIYQYZsyNBRqKM8jcDBLSKQnTu/3b6vAQXF/FS1DjgCMAlKQS4hEBK4aKuhVm5Me74C/IUg1HsfgZM8PHfOnQpZswbxffxddmnb5s+fD4Th137B87CvuALztdfInn02/gH5VxbU99HmZiJz5/ZJji9kaGlJZ6lrShPtQeeOW2+KsWqlQVm5z/Q9C8t09Xwf0zQoL95WD7gzLNNgVHmcdLawsG7IwFCo1utqgpBrZxxFEH4tCFV9p4tztY6Z2Mm2ZuCU3NdOjdTUAHSYUerYsfhTpwbh1xNOGCrTtn9UsW66CfOZZ8iecgr+kUd2MTSXvDNtWiDMHrJdoqrUbGzGNI2CZnl7Tysnk9kyrqFemDGhgmhUeeP9bToQdiCT9Rk3oqjgWSvAyLI46zenUNVw7XuI6FHgW0QiIjJXRD6R+x5R1UZV7VmH0pA+0eYo280oIRd+ffdd2LhxKMzaIbDuuAProYdwv/QlvOOP73KsNjVhVFVhz5gx5DcwVaW2MUVT0sELw3Q9oqElQ3MqW7C4wOPPNvDJT2cQCf7P0ZjyP5/L8MRzDV0e5+dqjEeUFjabbCVqm1QUR8lkCxdaD+lfCnaUInIWsB54CXgs9329iJw5QLaF5EGqq9GyMigt7bDdX7AAADMMv/YK84EHsO64A/foo3G//e0ux/rJJBKLEZ07d9CVhzqjtjHN8rVNLFvdwFsfbuKD1Q1sakiRcbywv2EX+L5Ss7GFiGUW/LAzukpZ/pGJqmDZipOB4mJl1Oiu/88Zx2NEaRTb6nmy16iKeNircggp6BMuIqcS1EreRZB5OiP3/S7gShH5wYBZGLINRnX1NrNJAN1tN/yJE0NH2QuMp57CuvlmvIMOwv3Rj7pU7tFsFlyX6P77B+LxQ0zG8XhtSZKTv1ZBS4NNLGKSTGdZtb6ZJSs2s2TFZlZvbKYpGQZ+tqa2KY2T9XrU1urlFy3eXWIyeYrLvQ81ccJXMmza2PXxrT0nR5V1XRKSj6KYRTxmkw1LRYaEQt8d3wWuUtXvqupiVX0v9/27BILmoaMcRKSmBj9PQbu/YAHy9tuwefMgW7X9YrzyCvaVV6J77UX2xz+GLso7VBW/uRl7n30wyjrTzhhcVJWVG5r49c8TvPayxS9+FkNEiNgmiZjV1vliQ32KZasbSGVclq2uZ1NDirTj7tQzFNfzWbOpJW/Rf2c0Nghnn1rEbhN97nm4iel7evz4shQ339Z1S9ys61MUt3qt3SoijKmI47qhoxwKCnWUuwL/zLPvaWDb6U3IwJBMIrW1HRJ52uMtWBA0c37uuUE2bPtEli7FvvBCdLfdcC6/HLqZIWpzM2ZVFVYnM/qhIB6HPXYt59674qgKi/4QY8aECvaeFmTgigiWaRCPWiSiFiJCKu2yakMz76ys4z/LN1OzoZnGpLPT9UBcX5fE8xWzwBpFVbj4/AQbNwjX3tRCgb29AXA9ZUxlok9r2WVF0bCecogo9L++CsiX/veJ3P6QQUCqg5LVzkKvADp5Mv748RjPPjuYZm2XyKpVRM4+G62owLn6auhGw1ZzHVMis2cPefIOQCrj8tCTmznkcIctXfCUseM8fvLTlra+3lsTsU0SOcdpCGxsSPFBTQNvfljLspp6NtWnSGXcYeU4fV/JOB5O1sP1/D7PhDNZjw09FBd48P4Ijzwc4XunpdlrTuGJNa7nY1sGJYm+NSo3DKGqMtGWFBQyeBQaB7gJuElEKglqGNcDo4HjgBOBHw6IdSHb0FlpSMcBgr9gAeY990Bj4zYJPyE5Nm4M9FtNk+w118CIEd0eok1N2Hvt1a2Y/WDg+8rK9U1UVihvvRF8jG1byWahttbgrFOLue4qn88dm+HzxztMmNi50zNNg3hulqKqpDIuTaksuQ3YVs6pxixiEYuobRCxzQGb2biej5P1yGR90o5LMuOSyrg47hYx+lY/YZqCaQQz5uBLsC2j7XfTEAwjGNP6ZRgGhsDa2haQwsUFVq00+MmFCebtn+VbpxTeSgvAyXrsMrq4X3pLVpbEAt3OsFfloFJoHeUtIpIhEAb4fwSPrwKsAU5W1V8PnIkh7ZGaGlQk0HnNg7dgAdaf/oT5/PN4//3fg2jddkJjI5Ezz4SmJpwbb+zyf9mKn0wi5eVYkycPgoHds6E+RTLtcvsviqnbbPDxQxzOOCfNPXdFWL/O4LPHOtx/T4Tbb43xq5/Hmbd/lmO/6DB9Sn4H17q22TrvUVV8VVrSWRqTTtuHXhUsU4JwbixYd4taZs6Bdt/oWFXJej5ONnCKqYxLJuvx1oebcD1FZMv82Mo5uHikY1aqqqK5767n47geqq0203aHki0/5o4LflFfSXQjIdeK68JZPyzCNJWf3tDS1RL2Nvh+UPtYWdI/ik22ZWCaBo7jEQt7VQ4aBf+nVfV2Efk1wXrlGGAtUKM7czbAEGCsWoVWVQXNkfOge+yBVlVhPPvs9u0oa2uJXHopzkUXtbWx6jOpFJHzzkPWrCF79dXo1KndHqK+D45D9KCDhkUpSDKdZc2mFpa8EeX2X8Q45vgMl1+TBODHl6Xaxh15dJb164QH/xzlz/dEOPf0IuKJ+fzPZz2OOT7DnH28LttyigimCFtPHlszOFOOS3Mq28ERiQjxqEkiahOPmkRtEyXIzE1lghli2nHxtaMT81WxTAPboqCwtogE1+zFrKr1llVo+PyXN8d483WL625pZtz4nt3uMlmPkWXxfp2B26aBn3soGA5LADsDPXokyTnFVSKyVlWzA2RTSBdITU3e9cktgwRv/nzMBx+EZBISg9Pktb+x7rgDefttrF/+MijZ6EspRm0tkUsuQS0LefddshddhL/33gUdqk1NWFOnDguJOt9XVqxrIpU0OOdHRey6m895FwVOsrMbZ9UY5aTvpvn2/6V59WWLO25r4q9/Gcu9f4oyZarHscdn+MwxDiNGbnEAG9YLP/peEdf/vKXT2kARQQQihrnNHcT3FSfrk8qk8P0tfkxRDAnCoRHb3CZsKEiP1Gr6Qk+cy+uvmNx6U4zPHpvhk5/u2S2vrSSkvH/1f0WCziLJjNujjN2Q3lOwoxSRgwgaJB8MJEQkCTwL/ERV/z1A9oW0RzUoDTnqqG6HegsWYN13H8YLL+Af3qVi4PBk9WrMv/4VUcV64gmsJ55AYzEoK0PLy9Hycigtbft5bDSKUVUVbC8vDwQZiovb7tStTtcAsj/6UZs4Q3doOo3EYth77DGAf2zhrN3cQtrxuPonpaxfa/CH+5ooKg7W9tKOiyEGEXvbjvQiMG8/l5Gl73LlDXEe+WuE+++JcvXlCa7/aZxDjghCs/MPyXLrTTFezZWaXHR5Ko8lnWPk1gXtnol+DUtaWkzO/GER48b7XHBJssfHO65PaZFNLNL/IdKqygQf1DSA3e+nDumEgl5BEfkE8DfgPeAagmSeKuALwNMi8ilV/ceAWRkSsHkzkkzmT+Rph86ciVZWYi5evP05yuZmoj/4QVvWhpom/rRp6MyZSEMDNDQgdXXIihXBz+l0xyanOdQ0A8daVITU1AShPtPEO+iggsxQVTSVInrwwUihPZQGkOZUlnWbkzz9eIKH7o/y3VNT7L1voLyTyXpMHluGr8ra2iQt6SwRy+y0kL64BI77ksNxX3L4cJnB/fdEefD+CE8+1jGcv+gPMRb9IVaQhumOyK0/34N1aw3uvLeJ4pKeH+95yuiKgYnmlMRtorlelWHJyMBT6Kf/coK2VsdttSZ5qYj8GbgCCB3lANNdaUgHcg2dzccfh3Qatpf2Tw0NRE4/PXgoyG0Sz8P46CMyl13W+VplOs1ra9YwN5vd4kjr65H6emhowHj11S2pkiJYCxfinnpqt6ZoYyPWbrthjBzZf39fL/E8nxXrGqndYHHp+Qlm7+Ny8veD7MtUxmV0eYKKkmhb4kh9c4Y1tS0k0y62ZeRVnpky1efM81OcelaKhx+IcNN1MdavM2hdQZw0xePUs9K4LgX3W9wR+NuDNk8+WcH3Tkuxz9yea6y6nk/UNimJD8yUL+hVGWdl2KtyUCj0P7wXcHuexJ3bcvtDBhgjVxqST5Vna/wFC5B0GuPllwfSrP5j82Yip56KLF++rTqO52EtXNj5cbEYmdGj0T32wN9vP/xPfALvuONwv/1t3G98A2nvdF0X89FHu1UuUscBy8KeNWtYJEysqU2Sdnx+fFYJritcfWMLlhUki8SjFuNGFrXZaRhCZWmMPSdWMmlsCaYhJNNZHDf/Dd+24ZjjHQ49wkUELCv4qK9cbvLD7xQzf14Z552R4MnHbVI9i8Zud6yuMbjkggQzZtTzne/1rBSkFSfrM6aysJ6TvaW8JIppStirchAo1FHWA1Py7JuS2x8ywEhNDWrbMHp0QeP9OXPQ0tLtQ/t1/XoiP/gBsm4dOnYsslW1vLguxpIlPT6ttXAhbF0435XTZYtMXWTOnGGh5dqUdNhQn+SeO4t48d82516UZMJEH8/38X1l4phSzE4SYQwRKkoCpZ4p48uxTRNfFSebXyi9dpNwwlcy3PtwE1/6aoZDDs/ys1ubmX9Iln88ZvO9bxdz0N7lfO+kIv7y5wh1dUP/ENGfeB6cfVoC3xfOPHtJr2bRvq8YhhTcc7K3mIbBqLI46bCryIBT6NvgXgLx80bgPlVNi0iMYI3yCuCOgTIwZAvSKoZeaImCZeEddBDms8+C43RZUjKUSE0NkTPOgOZmnGuvRWfO7LdzG++8g7gdm95253S1uRlzzJhh0WPS9XxWrGti+bIIN14T57+Ocjj2iw6qStrxmFhV0q1+qIhQVhShNGGz9kOTaMSkOZXFMg0iVscejO01SzuUmnwySzYbCII/+ZjNk48Ha5qmqczbz+WIo7Ic/oks43fZ8lDSXfbscOT2X8R49SWbq25oYezY3s0m01mPqop4wdJ4fWFkWYx1dcmwVGSAKdRRng2MIHCId4hIM9AqT/Kn3P6QAUaqq9GJE3t0jL9gAdajj2K89hr+AQcMjGF9QJYvD5yk5+HccENBdY09wbn99h6NV9cF1WA2OQx6TK7e1ExTi8+5p5dTVqZcelUSEUhlPCpLYlSWFr72LBJkpE7bpZyWtMva2haaklkMQ4ja3Tcttm046GCXgw52ueDSFEveNvlHzmlecXGCKy6GGTMDp/lfR2ZZ9IdIr7Nnt2YwnO5bb5jcckOMT37G4TOfd1j5Xs/P0TpTH9nLLiE9JWKbVJREaWjODEh2bUhAoco8KeB/ReQnwH5sERx4WVWXDqB9Ia14HrJmDf78+T06zJ87Fy0qwli8eNg5SnnvvUBGzrYDhZwePgT0N6oayNTNno3RE8XrAaKhxWFTQ5pf3lDKB++b3L6wiYpKxXE9bNNg19HFvXLmIkJx3Gb38WUkMy7rNidpaMlgiBC1C+vLKAKzZnvMmu1x6plpViw32maat1wf45brtziK1uxZ01LOvzhJLBY0O45GIRZTIlHYvK4ER4wO22K5MYZBn0pWCqGlBc78QRGjx/hcdFmyNzoGQLBmXFEUHdT6xtHlceoaM+GscgDpqeDAUiB0jEOArF2LeF5BpSEdiETwDzgA81//wvW8LltIDSby9ttEzj0XiotxrruuIBm5gUZbZeomTRpqU8i6PqvWN/HqCzHu/F2Mr34jzcGHuPi+4nrKHruU9TnbUUQoitlMGRc4zPWbk9Q1ZzCAaKTwRsYAEyf5fPPkDN88OcO77xhcdG6CJW9Z+P6Wc3iucOkF+R5A9ivoOgNVsnLFxQlqqg3uuLuZ0rLezVhVFd9XRlUMzmyylVYtXsf1iPSiKXRI9/TIUYrINIKWWtvEe1T17/1lVMi2tJaG+L1o7+QtWID55JMYb7yBP3duf5vWY4xXX8W+4AJ01Cica68tODlpIFHfh2yW6L77DrlMnapSvbGZTZvg/DOK2X2ax+nnpALRcsdl/Mhiivq57CARtZg0tpQxGZcNdUlqmzIIELXNHivmzNjTZ8+ZPv95E6JRxXHgCydkOOPcNJkMZNJCJgPptODkvld/+CFlI3cnnZEOYzZvEhY/bbPiIxPPa83qVQ4/0uH1V0323rdrGb5CeOxvNvffE+U730sxbz+3+wPy4Ho+8ahNUYEasv1FUCqS4MM1jYTR14GhUMGBPYFFwEy2yDq2R4HwUWYA6bZrSBf4++2HxmJB+HWIHaXx/PPYF1+M7rJL4CT7S8O1j2hjI9a0acOiGXN9c4bNjRmuuriMhgbh9oXNxGKQdjxKExGqBnDGEo9aTBhTypgRHhvrU2ysT6EEDrOzzNp8tGbPHv9lh3vuirBxg9FuprbtjG3syFomTp/Q6bmSSYOPPjDbnO6kKR7PPBXhkYej7D7N4/gvBzJ8Zb2YCa5bK1x0boK95rh899TeJe+04rg+40f2LhzeV0qLIkQsIxQgGCAK/Y/+CogCxwB7AJO2+iq4pYKI7CkiT4pIUkTWiMilItKlkxWRiSKinXwtKvS62ztSXY2WlkJvbuSxGP5++wXNnIewx6Dx1FPYP/4xOnkyzg03DB8nmU4jiQT2tGlDbQpO1mPl+iYe+UucJx6NcOoZKabvGfRgFBEmjCkZlBtx1DbZZVQxsyaNYNyIIlzPJ5l2cb3C3j8339bCjy8LbP/xZakO2bQ9pdXpLvpLEyd8JcOkyT6LX67n0qtaiMeVKy5OcMjHyjj7tASvvmxSaJsG34dzTisimxWu/lkLdh8m6Z4fOKiBLgnJhyFCVUUcJywVGRAKnajvA5ygqn/ty8VEpIJAwecd4LMENZjXETjsCwo4xRnAv9r9vqkv9mxPFCSG3gXeggWYixcjS5agew2+PoT5yCNY116LzpqFc8UV9Kg9/AAynGTqVJVVG5qoXmlw1aVF7H9glhO/nclJ1PnsPq500NegbMtgTGWCUeUx6poyrK1Nksy42Ln+j4PhtPOVrLTK8L27xOTeP0V4+C9RHro/ypTdPb7wpQyfPdahoiK/1/zdbVFe/LfNZVe3MHFS3x4gM1mfcSOKBk3YvTMqS2Os3tTSVscZ0n8UOqP8kE7WJXvByUAcOEZVn1DVXwKXAKeLSCEdht9T1RfafX3QDzZtFxjV1b0Ku7biH3AAattDIj5gPvAA9tVX4++7L85PfzpsnCTkQq4TJ2KOGjXUprC5MU1tg8OFZ5ZhWcqV17dgGEEpSFVFnLIhmq1AUNw+sizOzEmVTBoTqP2kHI9MF+IFg8WMmcGs9ZmX6rn8mhaKS5Sf/iTBIfuVceYPErz0gtVhlrlhvXDsp0q48Zo4Rx7tcMzxTp+u7+dOPqJ0aMUpLDN4jTLhrLLfKdRR/gg4T0T62rX2aOAxVW1st20RgfM8pI/n3nFJpZBNm3qVyNNGURH+vHmB+MAg3tjMu+7CvukmvI9/nOzllw8rzdk2mbo99xxqU8hkPao3NrPw9mLefN3ioiuSjB2nZByPRNRi3Ijh8XDRXu1n9/FlxCMmqYxH2nGH3GEmEoEM36K/NPHgYw188csZnvmnzde/WMInDy/lt7+KsrlWuOX6GO/8x8S24ZKrel8K0krG8RhRGsUeBhmno8pjbQ2sQ/qPvLEmEXmZjqvu44GlIrKCTiTrVLWQ/O7pwFNbHbcq17LyJme4AAAgAElEQVRrOvBwN8f/TkQqgQ0EQgfn52o8d2j6ksjTHn/BAsx//xt57z10emf9NvqJXMNlf+pUrD//Ge+II8iec86wUtVWVbSlhch++w25TJ2qsmp9E2+9bvGrm+N85pig96Hn+fgoE8eWDLtQmohQmohQEg/6Im7YnKKuOYMYuUzZIa7nmzbd5/xLUpx+TorH/h7h3ruiXHNFgmuu2NLNI5WCA+eU96nUpK3n5CAJDHRHLGJRWhShJZUlGhl6x72jIPmePETk93SWnpYHVf1GtxcTyQJnquqNW22vARaq6nl5jhsLnA88DjQChxKoAT2uqp/Nc8xJwEkAVVVVcxctyp/309zcTHFxcd79/Y7j4CeT3a6JNXsexabJ6GefZebVV/PSTTfR0ocaP6upiY9/9atUf+5zfHTiib06R6tNXTHtF79g3COPIMCaI4/kvf/7vwGv3yzErvao5yGWhQxgGLjQ95XrKQ1N8P3/2x/PF35x64sUFXn4qj3ONu0vm3qDKmQ9Hy+X8NOT9UsnnSQSG9gG42+9Wc5NN01ndU0CEKJRj4M+voFvffsDKiu3Db8WYpOq5pSNBs8pdfca+r6Sznr98rDiqxKxtu1v2lObhoJCbDrssMNeVdV53Z0r751aVU/suWkDg6quBb7XbtPTIrIe+IWIzFHVNzs55jaCzibMmzdPDz300Lznf/rpp+lqf3/jrlyJ8/rrGN28iP9ububA4mLMjRsBmD1tGvRl9lNcjO6zD7u+8AJV3/0uvYk5tdqUlw0biD72WFvvx8qTTuLAQSi56NaudqjroskksUMPHVAFnkLeV6mMy9JVddx6QQnr10e54+5mZs6dQzLjUlkSZUJV/2a5DsZ73XE9NtWn2VCfxPcV2zK7TfxZsfQ1Jk7fd0DtmjgdXnvT4p67IBJRHMegalwF+x40q1c2uZ6Pk/WZtms5xQPUTqszunsNPd/nzQ9qiUd7JhrRGcmMy7gRRYyp7PqBYbDvoYXQnzZ1+ZggInuJSN6FMREZLyI9SaGsAzq7a1bk9vWE+3Lfh76CfoAxqqvRqqq+Ockc/vz5GKtXIx991A+WbYXjBG2yWktQRLDuvLP/r9MH2mTqZs0aMpk631cakw4r1jWydFUdT/8jyv33xPj2KWnm7efiZD0ilsEuo4amJq+vRCyTcSOLmDVpBLuMKiZiG6Qdj1TGJZlxyWQ9vCFqDbV1qcmmjb2rOWx1klPGlQ6qkywEQwTTkMFMRdjh6WqN8ljgD8DHgJo8wyqAF0XkS6r6YAHXWwodm9GLyK5Agp5L4+WvXt7BkJqaviXytMM7+GCsG2/EXLwYd0q+zmm9IJnEPuccjLVr2za19n50v/a14VMzmUxiVFRgDbKurKqSTLtsbsqwuTGNp0rtRoMzvlfOio9MZu7l8n+nprdI1I3vu0TdUGOZBqMrEoyuSAThQCdwlE3JLE1Jh0w2+Oi2PgoMhlZpvlKTntDqJCePKx3STOR8iAgR28DzFaNTfZiQntLVJ/Ek4Leq+p98A3L7fkNQ9lEIjwBHiUhJu21fBFLAMwWeo5Uv5L6/2sPjti9UA7GBPibytFFZie61F0Z/lonU1xM57TSMt99Ge9JweZBRz4Nslsg++wyaTF0qE3Tp+M/yzbxXU8+mhhS2ZZCIWvzm1iLeet2ipVm45mct2LaScjx2GVVEUWx4zVL6imEIiZjNyLI4k8aWstfkEcyaWMmUsaWMzikNpRyPZMYlmcniZL1h2ZC4vZMcKnGBQoja5rD8/22vdJVN8jHgpgLO8ShQ6J3wl8APgPtF5KcEij4XA9e3LxkRkQ+AZ1T1m7nfLwZKCMQGGoEFwJnA/ar6VoHX3j6pq0NaWvokNrA13oIF2Lfcgqxahe62W99Otm4dkbPOQtavR8eO7TCjhN43XO5vVDWomZw+fcBl6pysR31LhrTj8e7KOhAlapkkcn0j50wtx3HaiYV78MnDy4hElSUfNjCqfHhkUA4kwazHJGKblBVHWRYxmTNlBKmMRyqTpbElS3Mqi6+KAoYEM9ShnGVvL04SAlH7hpa+1YeGbKErR5kgcErd0Zgb2y2qWiciRwC3EJSC1AM3EDjLre1qPzVZSqDK8y2CmstVwDXA5YVcd3umv0pD2tPqKI3Fi/G+8pVen0eWLw/aZKXTQcPlIVD86Q5VRZubwfMwRozA7ud+l61kXZ/GZIZNDWlaUi5IsCbQmlCxdo3w2N8iPPLXSJuTFFFUhVhMOfwohx+d08yEqvLtcl2yPzANg+K4QXHcZlQ5OUUij1TGoznlUN/skExniUetQf8fuZ6P4/pMHlcy7J0kBGUi4Rpl/9GVo6wBZgDPdnOOPYHVhV5QVd8BDu9mzMStfl9EIEyw02Hkuob0p6Nk1Cj8GTMw++AoZcmSoE1WJBL0kuzP9c5+QF0XbWkBVczx47GmTMGoqOjXG6zn+zQls9Q2pGlMOqiCZUmbc6zdFOXZ52M88nCEN14LPmp7znI5/Zwk779r8reHIkSjSiYDiYTHvNklw6JofbggIsQiFrGIRUVJlHEjfVZvamFjfYqobQ7a7NJrm0mWUF48fAQzusI2jc7bV4T0iq4c5V+BH4nIH1W1U0VjESkGTqN7oYCQXiI1Nahto/3cispbsAD7V79C1q5Fx47t0bHGSy9hX3QROmIE2Wuu6fHxA4lmMmgqBZaFNW0a1oQJGIn+q89TVZpTWTY3pqlrzuArmIYQy/Vv3LBeeOKRCI/81ebVlw8GYPqeLqedleKoTzlMmBhkBH//pCJO+EqG476U4U9/iNDUYFOa2LHWJfsb0zDYdVQxpQmbFeuacF2/x30ze4rn+WSyPpPHbj9OEgKN3tBP9h9dOcorgOOA50XkXOBJVc0AiEgEOCI3phi4cqAN3VmR6mp03Lh+L9j3FyyAX/0K49ln8Y4/vuDjRj/9NPaNNwYdQK66alhks6oq6nn4dXVIcTH2vvtijRvXryLnacejrjnDpvoUa9bCeaeVcP3PPaqqYNNG4YlHbR75a4RXXrRQFabu4fG1r3/ICV8fyaQp2wpu33xbS1th+E+u9Jm6S3m/2bojIyKUF8fYc4LNivVNNCUd4hFrwJSL0q1OsmT7cZLAdp8xPdzoSnBgg4gcDvyRYHbpishGgqWXUYBNkHF6uKpuGAxjd0akpqZ/w645dNw4/N13D8KvBTpK8/77mXnzzfhz5uBcdhkMsRKHel6w/qiK2DbR/fbDGDmy32YYrufT2OKwsT5FSzpYd4xaBr//ZRGvv2JzxveLsUx46QUL3xem7O7x3VPTHPVJh92n+axYuoKJUzo+SPi+4rgevgYJKhUl0SHvOrE9ErFNdh9fxvq6JGs2JYlY0q9ha8/z8VWZPLaEiu3MSQJYZvB+GoySm52BLh+5VfU9YJ6ILCDINB2f27UaeFpVnxtg+3ZuPA9ZvRr/oIMG5vQLFmD/9rewcSN01T1DFet3v8O68042HnAAJZdcApHIgNjU4bJAFgMTxWxXLquOgyaTYBhYU6ZgTZyIvPJKv3QAaR9a3dyU6bDuuPceFTiZLTedV14MQqWmqTz4eANTp/mdih15frDGpYApQmVpjPLiKMUxO3SQfcAQYWxlESXxCMvXNpLMuMT7IRTreT7prEfUNrdLJwlbsop9XzHN8D3WVwqKTanqYmDw+zPt5MQ2bEBct19LQ9rjL1gAv/0t5nPP4X3+850P8jysn/0M6+GHcT/5SZacdBIH9LOTbHWIDiYZMUhhkRKLDCYaiOERwSOeSZJwksRti6K95hDddTzST7a0D61mPR9DghR7QXjjNZO/3BfFssDJtFosRKLKkf/tcNYFKUaN7phi6Ho+qkoq42IawqjyOOXFURIxa8gFw3c0iuM203eroHpjE3WNGWJRE7OXdbKeHzjJyWNLeXPN9v06RW2DZMYlTA/rO8OnnUPINiRWB8nE/gCEXgF0wgT8CROCMpHOHKXjYF9xBeYzz+B++cu43/pWkEna2+vR6hANMmJu6xBFQQUDHxOlsVY46+KJXH3e+1RWZGlKlNJUtSsSi4EvRFY3URyzKY7b+Kq4nt+jtZm20GpDLrRKEFpNRC3WrxMeuj/CA/dFWf6hSTyuHPUph4Z64ekn7ZxWKBSXKKNGK6qKlwurghDJ1fxN27WcxBCUM+xs2JbBpDGllCbSVG9oxjC0x0Llnu+TcTwmjSndbmeS7YnaJs2p7FCbsUMQOsphTGLNGqCfS0O2wl+wAPOPf4T6eihvl1CSTGJfeCHma6+RPeWUHiX8KOBu4xBNMlj4BFrsqmDkQqpRvCBDb6u6r1/9fgyvvV3MbfdM4qKrnA7tsFQV31caWhw2N2XIOB5vfViLbRttzjMetYjaJrZldDiu09BqxMTJCI/93eYv90b517PBuuPc/bJ86+Rg3bGoeEu26vFfdrj7jxE2bhCSGRcUYhGT8SOKKS2KEIuYbFpl7HAKO8MZEWFkWZyimM3ydY09qrn0fJ90zklWlm7/ThKC92OoztM/hI5yGJOoqUGLi2EAlWS8BQuw7rwzCL/+z/8EG+vriZxzDrJsGc455+AfdVRB5/KBJiJsMOKkMXNB00An0cQnkschQuA4122weef9BD+6aBKet+Xmdvf9ldx9f7AW+PNfN7PHDI+qMWCa0pYMLBKsI7YKjtc1pxECYWjbMiiKW8Rsk9rGzDah1bffNHng3gh/fyhCY6PB2HE+J303zee+sKWco5WbftWM6ylZ1+PMCzMkYhaVpUWUJqJEbSOcOQ4D4lGLPXatYPWm5oJqLndEJwlgW8H7O6TvhI5yGBNfsyZYnxzAm69OmYI/bhzGP/6B+cQTOKecQuSKK5D168ledhn+gQd2ew4PoV4ibJQ4WTGo22Ry3iW7ce1FKxg5wt1mvO9D9Zoo774f5533E7z7fpylHySobwjejiJKccIllTbxfMEwlEhUSacMTv5GIBNcVuYzdbrHHtM9ps3wKImVMmpXoaio1XkGHlRV8VX5aIXL2T+Mc90tDmPGWGxYLzz8QBBa/XCZSTSqHHm0w+ePc9j/IJetl7g8X3GyHooSj9qMHZGgNBEhMoh9CEMKxzSkreZy5bpmXNfttObS83WHdJIQPCBq6Cf7ha66h3jAgar6koj8FviJqi4fPNNCEqtXo/vsM7AXEcGfPx/z7rtBhOipp4JtFyRJl8Vgs0TYJAl8wMYnrh7X3jGW194q5tY7xnDuD2r4aGWMpcsSvLsscIzvfRCnJRk4GMvymTo5zREH1zNjWorpU5NMndTCtT8fz31/G000GqwFfu5Yh9POSrPsfYP33rV4f6nJ+0tNHrgvSrJFCKSJYbcJXpsD3WN68PNuE3x+84s4r79ic8EZxVg2PPeMjecJ+8x1ueSqFo7+lENJace/T1Vxsj6eKqYhjK6IU1kSaxMXCBnetNZcJvLUXHq5jiYTx5TscE4Scuo8If1CVzNKB2hNKTyRQNA8dJSDRTpNbNMmsgO4PtmKN2cO1t13gyqayeBccUWXTjKNSa1E2SwxBIjgYQBzPzEHx9ny4bznwVHc8+CWko14zGPalBSfPmoze05NMmNaiikT09h2u9IPgHSGulRx21rgPXdF2LjBoLRMmfsxj7kf89rG+z6sqTF47skV1DVNa3Og/3zCxve3dWb/ejZ4S5um8vd/NjBpcsfQqqq2hVYRobwoysiyGMUJO8xW3U5pX3O5dlMS2xIMw2hzkiNKd0wRessyQMNayv6gK0f5DnCxiPwl9/sXRGRenrGqqrf2r2k7N21i6ANUGtIe84UXcgUPgGUFvSr37djZXYEkFhkMlhnlCEqsdc0RSCYNTvzien6/qAonGzhLQ5QJu6b50jGb2H+fJibsmuleYCiTwSgr46bfBIk2rudz7sUOpmGgyjYfeMOAXXbzOeDATUycvqUTSjoNHy4zeeUli7v/EGHlChPfFyIR5RNHO5y9VUmH7wcC3KoQi5qMHVFCWVG0QyJQyPbL1jWXacdlwg7sJCH4m23LCGQWQz/ZJ7pylN8HfkXQ3UMJunfkQ4HQUfYjA9E1pFNqazEffbTN4W3dbLljgo6FTxMx3LbxLUmDPz0wioV3j6KuwaZqZIYNtRFsW8lmhY/t08yXPr+pWzMUcLMebiSGWT4CHA/LEIridhAiy7i4ngYZs7ljLCPo5N5Z0X4sBjP38pi5l8fyD01WLDfbwrgl7Uo6HNfH83Kh1fI4laVhaHVHpjhuM2NCBamMS0li4EUzhpqIbeJkPcxQ2KJPdCVh9zywF4CI+MABqvrSYBm2s9PmKMeP72Zk37AWLgzil+3xPMyFC9lw2tlslARZESxVYrgYBDPPpuacg7xnNA2NFh/fr5GTv/4Rv19UxcjKRo77TC33PjSCTZs7L4/wCUpI2uakqsS8NKN2342SEWXEohYRq2MWadAP0MNxfVIZl2TGJZVxSTleW3G/qmIaRpARa0iui4d0LOnYmCvpAEoTEUaVxymJhyo5OwuWaewUThKCEpF0ZtuEupCeUWjW62EEodiQQcJYtYr0yJEQH9jQkPHOO4jb8YMkrkt2yVLWSDE2HnHd4kibmy1uvX8Md947iqZmi0MObOA7X1/HXjOSANx42ZZl7AtOzzl7wEXwMNBcEaWFUqxZiskS9V2i9bVEZ++FPSF/l5TWxr0J6NAT0PeVZ2ospowrI5N1aUkHDjTteChw9c0Nbb35zrwwQzRiMqq8mIriSNjWKmSHJmqbeGFjyj5TqITdMwAisj9wMFAJbAaeU9UXB868nRepqSE1bhwD6SY9oOn235LFICsGzVjUS7QtQSfOFgfa0Gjyh/tGced9s2hpsTns4Hq+87V1zNwjtc15fYKMWD9XxaVAQl2KyZDwXaJ42Pht4Vu/qRFzTBXW5Mm9+jsMQxCB0qIIEKE1fUhVybo+maxHJuvhekppwh6Sxr8hIUNB1DY7rVsO6RkFOUoRKQLuBY4iuL/WAiMAU0QeBY5T1eSAWbmzoYpUV5OcP79PjrI1vJnFwJVAKSeNSUZMHEy8VkeW82YGdEjQAahvMFl4z2juun8ULUmTjx+4jlO/Wc/0qds6SIWcHB2Uq0MRWeIaOMZ8KTGayYBlEdlnn353Xq3C0BHbpKRfzxwSsn1gmTKQZdg7DYWGXq8GDgROAP6sqr6IGMCxBAk/PyVI/gnpDxoakOZmkuPHM6KboR7gYLbNCjOYpLFwxCCbK7oXtE1c3EQxUCx8bMirlLO53uKOu0ez6IGRpNIGnziknpO+to6iUSvYpXRMh7Gas8EHKjTDaE0RYdsejFujvo8mk0QPPjjQbw0JCelXwqzt/qFQR3kscLaq3tu6QVV94F4RqQAuJXSU/YZUVwOQ7CaRR4EVRinJtpdRMHKO0EA7ZKd2x8ZaizMvmch5P6zh4ccrufsvI0lnDP77sMBB7j4pDUBNY8frZzFwEcrUoUpTxPA6Pf82tquiDQ1Y06f3S3uskJCQbbGtoKwqrKXsG4U6yjKgOs++aqA0z76QXmDkMl67c5QOBknsHjnEzlCF624dx6tvFnP8t6ajwNFH1HHSV9YxeWKm02OyuZBuEVkm+kniPbRBm5sxKiuxp03rg+UhISFd0ZoBHtQgD7U12y+FOso3gVNE5FHVLSlUEjyinJLbH9JPSE0NallkRufPAAVoFhtyQdVC8X1YWRNl6bI47y5L8PtFo9F2gpBeLmL6xDPlXHXBym2OVyAlJjH12MVvpphsj520Og4AkXnzkG4VCEJCQvpCxDLwfMUIBdJ7TaGO8jzgEWCpiDwArAdGA58HJgJHD4h1OylSXY2OG4d240Te31zEGZdM5rqLlncqPu44wgcrYm1OcemyOO99GCeV2qKzOmVCilTGZP1GG9c1iEU9jpjfwBn/t7rDuTwEJ5eSs6vfTJk6vfrYqSra0kJkv/0wiop6cYaQkJCeELVNmlJZwkqo3lNoechTIrIvcCFwHDAWWAu8CByjqgXXWIrInsDNBMlB9cCvgUtUtaDFrVwS0UvAXODTqvrXQq+9vSDV1d1K12Ux+Pkd43n9rSJuvWMMp31nDUs/iLeJjy9dluCjFTHcXLuqRNxj+u4pPn90LdN3TzF9aordJwU6q5detwv3PTySSMQn4xgUFXltjtcHMliY+IzTFprwKFen13+bNjRgTZyIOW5cr88REhJSONGISUNL7z+zIT1os6WqSwiyXntNLvHnHwTiBZ8FpgDXEVQmXFDgab4FDLwA6lDhecjq1fj77593SMVR80k7Wx4PtxYfr6zIMmNqivkHNDB99xQzpqXYdVxmm9ZRrWyuszn+M5s6qOn4BJmsAGO0hUoNCj/6Erzxk0mkuBh71qwwsSAkZJCIRSxCzYG+Mdj9KE8G4gSz0EbgCREpJRBfvzq3LS85R3s5cA7BTHSHQzZsQLLZLjVe37nrRb5/6x488s9K/Fy/xt0npTjxSxvYf58mRo1we7Rw315N5/zTa8gQ1FmO0DQjNYXdDxXL6rqQzRL9+McRu3NZu5CQkP7HNg3C5cm+MdhFNkcDj23lEBcROM9DCjj+J8C/gCcHwLZhQWtpiN9F6HXUiCxWLEjMMQxFFfae1cKnP1HH6JE9c5KtBCHWoAazXDNM8+sZq8n+cZKq+E1N2LNnY5SV9fl8ISEhhWNbYRpPXxnsGeV04Kn2G1R1lYgkc/seznegiMwG/h8we0AtHGIK6RqSxOaD5TFAuPD0lSxdlsgrPp6PjqLkQf1lqTqM6kEtZKFoYyPWuHFYEyf263lDQkK6xwobOPcZ0UEMXotIFjhTVW/cansNsFBVz+vi2GeAF1X1LBGZSNBEOm8yj4icBJwEUFVVNXfRokV57Wpubqa4uLiHf00fcJxgvc7a9jll6i9/yZh//pNnFy2i2fcp7iTz1cHgmhtm8+JLo/nTnU9hWd2/hsq2AjxGO6WeQj9KzZ7XqU15yXUmkZKSAS3kGvTXsABCmwpnONo1HG2C3tmVyri9ygvwVYlYRrfOdjj+rwqx6bDDDntVVfP1WW5jsGeUvUJETgD2AD5d6DGqehtwG8C8efP00EMPzTv26aefpqv9/Y27ciXO669jdPIi2uvXI7vuyoElJfy7uZkDtxrjA2/5lbzyyhgOO6iRiZVVnV6jVTWnVc9VgCLNUoJDQt1tNF0LpTOb8qGehzY2Ep0/H3PkyF5crXAG+zUshNCmwhmOdg1Hm6B3di1ZsRlUMXs4u0xmXMaNKGJMZaLfbRpo+tOmQkXRXwV+A/xJVev6cL06ApWfranI7evs2jZwDYGerCEi5WxRAioSkRJVbeqDTcMKo7oaf6+98u5vweaN/xTR0Ghx+Pz6tu2dOcaEZinNOcauhMkHAlUNQq4zZgy4kwwJCemaqG2QzLiEpZS9o9B759sEjmqNiNwtIkdK7/L7lxKsRbYhIrsCidy+zigiKAe5nsCZ1rFFCWgR8Hov7BieZDKwYUOXiTyNEmHxs6VEIz4HfayJDCYpTDKYxNVlnLYwxW9ghr+ZSdrECM0QH2QnCTmJupEjQ4m6kJBhQNS28P2wRqS3FCo4cKKIfBf4IvB14FFgtYgsBH6nqh8UeL1HgDO3mgV+EUgBz+Q5ppmgcXR7xgB/IlAMemqbI7ZTZPVqRDVvIo8P1BPhmedKOXBeE/G4TwaTKX4jMdxBd4b5UMcBESJz5yL5ijdDQkIGjVjECB1lHyj4LqaqLar6W1U9BJgK/A74X+A9EVksIieKSHe9kn4JZID7ReS/cgk3FwPXty8ZEZEPROQ3ueu6qvp0+y/ghdzQt3ekxtGtpSH5VHlSWLy7LM6adVEOP7ieLAbFmiUxjJwkgLa0YM+Zg5Hoel0jJCRkcLAtM7coE9Ibent/9diSROkRLIn9AlghIp/Id1BuffMIwCQoBbkEuAG4aKuhVm7MTkV3pSGNEuGZ58owDOWQjzfiYVBG5909hgpNp5HiYqxuOp+EhIQMHrZloKGf7DUFZ72KSIJA5/VEYD7wAYFzvENV14tIJXALQSPnyfnOk9OFPbyra6nqxG72r2AH1JowqqvRkSMhHt9mnwL1EmXxc6XsPauFinKXNBbFuq0Y+lChqvipFNH99w9DriEhwwg7rKXsEwX990Tkt8A64OfASuAwVZ2uqler6noAVd0M/Iygm0hIL5CamryJPGlMVq6J8v6HcQ4/uB4XIY6L5aQZzFrYLkmnMcrKMMeOHWpLQkJC2mFZBuQaOIf0nEIfM2YCZwBjVfVEVX02z7glbJt4E1IgUl2dN+zaJDbPPBdUxRx+cAMuBuWaQZua0MYuJXIHBVVF02kiM2eGguchIcMMQwTbMgjzeXpHoaHX44C1qprdeoeIWMA4VV2lqs3kz14N6YqGBqSxsdNEHgXqJMbi50qZOjnFruMdUpgU+Q5YFhgGms0Oqdi4plIYlZUY3TSbDgkJGRoitomT9TCN8EG2pxQ6o1wO7JNn35zc/pA+0FUij4PB+voIb7xdxOEH1+Mh2PhE3QxSVIQ9axba3DzYJrehqpDJYIezyZCQYUssYoYlIr2kUEfZ1d0vBsMs9XI7pK00pBNH2SQ2zz1fgu8Lh89vwMGgQjOQzWKUlmLtthtSUoKmUoNtNgCaTGKMGoUxYsSQXD8kJKR7oraJF65R9oq8oddct4692236pIhM32pYDDgeeH8AbNupMKqrUdNEx4zZZl99Luw6tsphxtQUaUxKNBs4yrIyxDSJzJlD5rnnIBYb1FmdqoLjYO+5ZzibDAkZxkRtk7CDc+/oao3y82ypb1Tgx3nGLQe+059G7YxITQ06blyw5tgOB4PNKZsXXi7hC5/ehAqYKHFclFxXjv/P3pnHR1Wd///9zJaEkISEVcMmoCIogoCiorKpUFupWotWq1LFgnu1rdZqWdS6tBYtbUVcat3qTwXRasGCghAJAipYFfgqVmUzCIJJIMssz2wilegAACAASURBVO+PexOTyczkZpZkEs779bqvmXvuPed+5s7Mfe495zzPA7g6dcJdWEiwpKS2rDnQ/ftxd+uGKz+/2Y5pMBiajsct5mY2TmJ1vf4eyMEKQC5Yvo85YUuGqvZV1aWpFtrWkW3bIk7k2S+WkayqdjFm5Lf4cZOn1bV94S7b51JE8A4cCKEQGkxuPsloqCoEAniPOsr8AQ2GNMfrOehiuCSNqE+U9gzXmlmuxls1lYRClg/lsIZp0fbiY0VRDrk5AY4bVI5f3OSGqmu3S50wca7sbDxHHklg0yakQ4eUy9ayMtyFhbia4VgGgyExvB5BbV9Kc2PbNGKNUQ4Atqhqlf0+JnbEHUM87NqFVFc3eKJUoDToZeWqXEad9C1uDwQU2uFHQyFwucDnq1fH27cvwc8/R6uqkIyMlEnWUAhCIbxHHpmyYxgMhuThdrlwuy1jaexk04g1RvkhMAJYY7+PNgos9jbzXB8nriiuISGE9z/IprTMY3e7ushRP25A/X5cOTkN7gzF68V7zDFUrVmDy+dL2Z2jlpfj7tkTV25u4zsbDIa0wOdxEQwprrYXATSlxDKUo4GP67w3pIga15BQmKEMIqwosnJPnji8jCBSGwRd/f6ozv3uQw/F3akToW+/Rdq3T7peDYVA1eSaNBhaGRk+N2UH/JjhyqYRa4zyrUjvDclHtm5Fs7KgoKC2LAgEVHirKI8Th5eSlRWiEg/ZNcGRAoGoT3Migm/QICqXLUNDoaQHKNfycjy9e+NKgRE2GAypI8Pr5ts6cxwMzjCTdNKA2hmvdbpJD+Dls89y2Vniq43t2g4/3poecBFc2dlR23Tl5eE57DC0rCzqPnFhzQbAc/jhyW3XYDCknEyfx8R7jYNYk3m+Jvq4ZANU1QT5jBPZtg096qh6Zd+Kj+LVHazckyeVEkDoovUDIEkjiZG9/fsT2Lo1qXFgNRTC06+fScpsMLRCvG6XmcgTB7HGKP9KEwylIU6qq5GvviJ0xhm1RSHgW8lg9equDDmmvE7uSavbVe2nOomQt7IukpGBd+BA/OvXI0kICFDjn+nt2zfhtgwGQ/Pj9ZhpPPEQa4xyRjPqOGiR7dsR1Xp5KCvwsHWHj/99nsuPrt5GEMFHEB8ha4dQCDIyHD0lenr1IvDZZ2hFRaOGtTG0vBzJyEAyMxNqx2AwtAwet8s8/cSBGaNsYSJlDSkVHyvs3JOja3NPVn53J+j343YYpk5cLnzHHotWJpbgWQMBcLlS6ptpMBhSi8ctlj+fifnaJGKNUT4P/EZVt9jvY6KqP06qsoOEWkNpP1EqsE8yWFGUy2G9S+lxqJV7MkcDtXXU70fy8hwfw9WxoxUH9quvkDj9HrW8HO+AAbBjR1z1DQZDyyMi+LxWui2323TCOiXWE2VnoKZvr4u9HmsxxIF8+SVaUAD2DNZK3Hy9z8v7/83mxBElhPguCHotwWCTDF5tHFjVuOLAqt8PHg+eww5rcl2DwZBeZHhdJt1WE4k1Rjm6zvtRzaLmIMQVFgy9VLwUvW3lnjxxxC6qySG/brcrWK4hTZx16srOxtu/P/6NG5scB1b378d7zDFJmzlrMBhajgyvh/IKf+M7Gmpp9jFKERkgIm+IyAER2SEis0QkZpwIERkoIovt/atE5EsReVREDmku3alCtm2rjchjdbtm8pade7Jvn1JUIE8b/qgbcw2JhKdvXyQzE61ynmdb/X7IyMDTq1eTj2cwGNKPTJ+LkHGmbBKODaWIHCMiz4rIpyKy33591k7w7LSNfGAplk2YCMwCbgJmNlI1Dyvv5S+BM7HyZI4D/i0isVxc0puyMmTfvtqJPNW42XfAy+p1OYwZuQ8ExA6CXkPNIHw8M1jF48F7zDGEDhxwPJiv+/dbabQ8rfc0GwyG7/B63CZ7SBNxdPUTkR8CzwNbgBeBXVjjlhOBdSLyY1Vd6KCpqUAWcK6qlgJLRCQXmCEi99llDVDVVcCqOkXLRWQb8B9gEPCek8+RbtTEeK3pei0TL++sy6bazj2pQK5W17+bCQSQrKy4w9I1JQ6sVlcjmZl4wmLQGgyG1ovXY1xEmorTq+29wMvAAFW9RVX/pKq3AAOAV+ztTpgAvB5mEJ/DMp6nOWyjhj32qy/mXmlMuGvIPslgxcrc2tyTAHnUj8uofn9CGTtq4sASCFjBzWOg+/fjGTgQcZsIygZDW8HrNl6BTcXpGesBPKph/XX2+iP2dif0BzaFtfElcMDeFhMRcYmIT0SOBO4B1mKlAWuVuLZuRV0u9JBDqMZFWcDNyuLvck8C3wVBryEQSDgpsysvD0+fPjHjwGpVFZKdjaewMKFjGQyG9MLjcYEaX8qm4HTgaR0wEHg9wrajcd71mQ/si1C+197WGP/GGqMEeBf4nqpGfCwSkSuBKwG6du3K8uXLozZaXl4ec3vSqa4mBBz9v//RvmtX3qmqIlBVzboNGZSWeRg09Au2lZYQCPpZW17fmKkqrq1b4auvEtOgSgiQsrKIWVw1ELCCrq9YUa+82c+VQ9JRl9HknHTUlY6aIDm6KqqDjkLZhVT55ksXmxp5Ck3Hc5VMTbECDtSdVnkj8JyIeIGFfDdGeQ5wBXBBUtQ0zrVAAXA4cBuwSEROVtXK8B1VdR4wD2DYsGE6atSoqI0uX76cWNuTTeCLL6h+/30yv/oK7dmTE9u35zPJ4fH3epLhC/GDU91IViH7SrdyYvv6GUJC335LxtChuOuk5IoX/+ef41+/HlfYE6pWVEBWFpmjRzcYC23uc+WUdNRlNDknHXWloyZIjq7NW/dR7Q/i9cQ2gAeqAhzaMZtuBbFn2afjuUqmplhPlOXUD4ouwN3A78PKAN4BnAxk7cWawRpOvr0tJqr6Sc3xRGQl1kzYnwCPOzh2ehEKIdu3ExoyhABCOV6WF+Vx0vE1uSfduKMMuScrc4enZ08CW7bUiwOrqmhlJRnHHZf0PJYGgyE9yPS5qawKNL6jAYhtKH9G8rOHbCJsLFJEegDtCBu7bAxV/UJEvgH6JE9e8yHffINUVqI9erBfvGz+JIuvdvm4+mc7CSJkEKI8rI6GQlY3aZLirdbEga1auRIyMxERy2jm5+PqYrKmGQxtlUyv20TnaQKxIvM8kYLjLQJ+JSI5qloz+DYJqADeakpD9oSejlhPla0OsWOmavfu7CODFStzrNyTJ36LHzfddH/ttN5aAgFcOTlJ9YFydeyIu3t3gjt3Qk4OVFXhGz7c+FkZDG0Yn9dtJWE3OKK5+9bmAlXAAhEZZ0+4mQH8qa7LiB3M4LE6638UkXtE5BwRGS0iV2FNLNqC5V7S6nDZhjLQoydl4uWtojyOG1ROfgcrFmv7CNF41O+PO6h5NETECnauipaX4+rUCVenTkk9hsFgSC88bjE3w02gKZF5JonIUjt83K7wxUkbqroXGIs1nvkvrIg8s7Ei7dTFQ/0xz3XAKcBjwGvAdcB8YISq7nf6GdIJ2b4dzcxkf6dubN3h45PPshgz8luCCB5CZBIheLnfj6sJWUOcUhMHVisr8Q4YYP5ABkMbx+sxvtFNwWlknpoJM08AY+z3LuBsLHePJ50eUFU/ttuItU/vsPXnaKVPjtFw7dhhdbu6rCADYOWe9OOiY3gQ9BpELJeNFODp2xcyM3ElYTatwWBIb7weQW1fSnNj3DhOnyh/BdwBXG2v/01VfwYcBuzGChhgaAKyYwehHj0otXNPHtnvAN0PqUYRcrQ6er0kzXht0K7Hg7dXL/OnMRgOAtwuF263mGFKhzg1lIcDb6tqEAgCuQD2hJx7gWtSI6+NUlWF7NpFdfee7N7rYf2H2YwZ+S0hwIXSjobTttW6/UuZoTQYDAcXPo+LkLGUjnBqKEuBGp+E7cBRdbYJ1uxTg1O2bkVCIcp7HMbbq6zck2PsbtcGQdBrCIXA6wWTxcNgMCSBDJ+boEm35QinV921WFk6XscKgv47EQkA1cDvgNWpkdc2kc8+A2Bvz36seDKXQ7tVcWS/CirFQ14oSq5IOxi66Ro1GAzJINPr4dtQ9GEew3c4NZR3AzWZe39nv38I64l0LfDz5Etrw/zPcv3c3fEwitfl8OOzd9u5JyN3u4LlGuJOwYxXg8FwcJLhc5sxSoc4MpSquhr7qVFV9wETRSQDyIiWQ9IQHfnsM4IdOvD2pkNrc0/6cZGtfjzRgiEFg0n3oTQYDAcvXrcLR5HRDU0POCAWnYFqYyTj5LPPqOjei5Urc8nLDTDkmHKCuOhAjG4QkaTFeDUYDAavx2XspEOaEnDgeyKyCqgEvgIqRWSViJyVMnVtlS1bkG1fsWJVDqfV5p7UhrknwzAzXg0GQ7LwuF1JD+bdVnFkKEXk51iRdMqB64Hz7ddy4BV7u8EJ336L65tvWL1vAKXl3tpoPJkE8RExteZ3riF2hg+DwWBIFI9bEEwCZyc4ncxzK/Cwql4VVj5XROYCvwUeTqqytsqqVQAs5ByyOMCpff+Hn8501BgxG4JBJCsLcZuwUwaDITmICD6v5SLicZtO2Fg47XrtCLwUZdt8rGTKBgfoM88QEhcL+SGny1J6PmfdX+TE6na1XUMMBoMhmWR43SbogAOcGsplwGlRtp0GrEiOnDbOzp0wfz7v62C20YNzdAH5i18ha88uMiIFQbdRvx8xriEGgyHJZHjdhEzQgUaJ2vUqIgPqrP4ZeFREOgILgV1AF+AcYAJwRSpFthnuuANCIZ7iYkAZzhoIhej5j7nIDTGiAIZC5onSYDAknUyfyxhKB8Qao/wQ6k2KEqzAAj+3y+t2ai+mflosQySKi5Hqap7iEgD+yjX8zX817T7aECXMgI2ImchjMBiSjtfjNtG+HBDLUI5uNhUHCVmb3qeyzvpDXMVDXEXml0H2sjJmXeMaYjAYko3XY1xEnBDVUKrqW80p5GBgyxblzAkBPvzAC0BGRogzT/mGB6f9X9Q6qmo9UWZmNpdMg8FwkOB1NznmzEFJk1JRiMgJwEisWa7fAEWq+k4qhLVFCjoFKSsTQPH5lOpqoaCdn24FMSLy+P1IdrbpHjEYDEnH43GBSeDcKI4MpYhkAy8A44EAsAfLZcQtIouB81VjOQIaACqqguwq8XLooQEeuO1jnn+9kG++if0VqN+POz+/mRQaDIaDCZcIXo+LkIJxpYyO0yfK+4ATgUnAfFUNiYgLOA8r0MC9wLWpkdh2+HKrn4oDGUydso8+/aqYNeALDtOy2JUCAVzGNcRgMKSIDK+bKn8Qt8tYymg47aA+D7hZVV9Q1RCAqoZU9QXgFqyQdoZGKFplDZsPGVxJUNx0IEruyTBcOTmplGUwGA5iMnzGl7IxnBrKPGBrlG1bAePk1wjBkLJ2jRuPVxlwVDUCtNeYTiG1GNcQg8GQKjK9boImOk9MnBrKDcA0CRvttden2dsNMaisDrDhXS8Djw7iyVAyQ1V4owRBr4eqcQ0xGAwpw+d1YzI4x8apobwVOBPYJCL3iMgvRORuYCNwhr3dESIyQETeEJEDIrJDRGaJSMxgBSIyXET+LiKf2vU2i8h0EWk1PhP7SgN8/KGH44YF8Cvk+R3MfVIFr9daDAaDIQV4PS4z47URHE3mUdU3ReQ44Has8chDgJ3AO8C5qvqxk3ZEJB9YCnwMTAT6AvdjGezbYlSdZO97L/AJMAi4w349z8mxW5rVq0NUVwtDhgUQIDtYTaOnXxVX+/bmR2wwGFKGx/hSNkqjhtKe3XoI8IWqXpDg8aYCWVjGtRRYIiK5wAwRuc8ui8Q9qrq7zvpyEakEHhaRXqr6RYK6Us7bxdbrscf5ESAjVA3E7lJVVRMM3WAwpBSvR1DjSxkTJ7cSLuBzrEADiTIBeD3MID6HZTyjZSchzEjW8L79emgSdKUUfyDE++s89OwdpEN+kGyPwz5vVeMaYjAYUorb5cLtFjNMGYNGr9eqGgC+oLHHH2f0BzaFtf8lcMDe1hROBELAliToSikVVQE2vOfluGEBAiElz+ewogguM5HHYDCkGJ/HZfJSxkDUwckRkSlY3aZnRnm6c3YwET/wK1V9IKx8G/CkqjqaFCQi3YAPgH+r6mVR9rkSuBKga9euQ5977rmo7ZWXl9O+fXtHnyEePv8ig8mXnci1129k/ITtZBKCigOIJ3bPd3kwSE5ODrjSZwwh1ecqXtJRl9HknHTUlY6aIDW6qv1BgqGGXa8hVXweV6PjmOl4rpxoGj169LuqOqyxtpxG5jkDe5xSRN4FSqifgktVdZLDthJCRHzA80A58Ito+6nqPGAewLBhw3TUqFFR21y+fDmxtifKfbOtGa7jzjqUQ3p3YqB3P4H163HF+BJVleJvv+W0U09t1KA2J6k+V/GSjrqMJueko6501ASp0bVj935K9h4gK6P+teZAVYBDO2bTrSB2z1Y6nqtkanJ6Be4EbA5bj4e9WMELwsm3t8XE9tt8EhgInKyqjdZpaVSV1atd5OaG6NnbT/t2PlwBB64hwSDicqWVkTQYDG2TDJ/bjFHGwKl7SLJyU24ibCxSRHpgjX9uilijPg9guZWcrqpO9m9xqgMh1r/rYfDQICFV8rK98K2Din4/uE0ubIPBkHq8bheYCa9RaXTwS0SGish5InJSEhz8FwFnikjd4KWTgAogZv5LEfkNcA1wsaoWJaij2di5M8D/tliBBkQgO9NZ8AA1htJgMDQTXo/L2MkYRDWUItJFRIqBNVgptoqAjSLS6MBnDOYCVcACERlnT7iZAfyprsuIHYHnsTrrPwF+j9Xtul1ERtRZOiegJ+WsKLLC1A0e6kcQMjMcdqWGQogxlAaDoRnwuF2YntfoxHqivAfoA1wCDADOwppA82i8B7PHFMcCbuBfwExgNjA9bFePvU8NZ9ivlwHFYctZ8eppDt5eBR6P0n9gNe3beXE5degVsRaDwWBIMR63IFhzKgwNifV4Mwa4VVWfsdc3ichO4F0R6RSvm4gd7m5MI/v0Dlu/DMtItipCqqxb4+aogUG8PiUv26kDpU0auYUYDIa2i4iQ4XUTDCkek8G5AbGuxD2Aj8LKPsIa8i1MmaI2RFl5kI8+8FrxXQWyM511u9be1RlDaTAYmgmf122CDkQh1pVYgGBYWU1eKHMFd8A7a4NUVUnTxycDASQ7O7XiDAaDoQ6ZXpPAORqNXbmfEJH9EcqfEpF6zoCqenzyZLUNVhZZP7pBg6vJacL4pPr9uDt1ggMO/C0NBoMhCWT4XMZQRiGWofxHlPLw7lhDFN4pdlHYI0h+x1DTxif9fisYujGUBoOhmfB63CZ7SBSiGkpVndycQtoagUCI9991c+LIAAi0y2pa8mXJyYGdO1OkzmAwGOrj9RgXkWiYscYUsfH/guz+2s3g4wK4RMjyNc0n0pWVlSJlBoPB0BCvSeAcFXNmUsSKFfb45JBqcrK8Te7SEJNey2AwNCMejwvU+FJGwhjKFPH2KqV9+xC9+gbIa+98fFJDISt0na+JPpcGg8GQAC4RvB4XZj5PQ4yhTAGqytp33Bx7XAC323l8V8CayNO+vRlUNxgMzU6GcRGJiDGUKWD3nhBbPnEzZKg1PpnZhPFJ9fuRvEiZyAwGgyG1ZPiMoYyEMZQpYGVRCFVh0HF+cto1cXwyEMCVm5s6cQaDwRCFTK+boBmjbEBU9xARebMpDalqzPitBxMri8DtVo46upq87PZNqyyCy0TlMRgMLYDP68ZkcG5IrCfKPWHLEcApWEmWy+3XkcDhQFwB0tsqq4vhiP5BsrObOD5pY2a8GgyGlsDrcZn5ERGIFXDg/Jr3InI5cCRwkqp+Wae8J/AqsCSVIlsT1dXK+vc9nPvjyqaPT6qCKmJ8KA0GQwvgMb6UEXF6Vn4L/K6ukQSw12cAtyZZV6tl7btBKiuEY4/z076p45PBIGRkIN6mP4UaDAZDong9ghpfygY4NZTdgIwo23xAl+TIaf2sXGm9HjPE3/T8k4EA7pyc5IsyGAwGB7hdLtxuMcOUYTg1lMuBe0VkWN1CERkO3Au8lWRdrZa331a6HRqkW7dQk8cnjWuIwWBoaXwel8lLGYZTQ3kl8A3wjojsEJH1IrIDWG2XX5kqga0JVVjzjpshQ/1NHp8EIBhEjGuIwWBoQTJ9boLGl7IejjIJq+o24DgR+R4wHKsr9itgrar+O4X6WhWff67sKnFx7JAAOdlNj++KCC4z49VgMLQgGV4PoVB1S8tIKxwZyhpso2gMYxSWvxUEPBxznJ/cdplxtWFcQwwGQ0uS4XObMcowHM8FFpEMEZkmIo+JyOsicrhdPklEjkqdxNZD0dvQLjtEvyMCTR+ftH+ZxjXEYDC0JF6PC4wrZT0cPVGKyBFYvpJ5wLvAKKBmeuYpwFnAJSnQ16ooLhaOOTZAhjeO8clAAGnXDnEZPyaDwdByeN0uYyfDcNr1+mfgS+AHWFF56nZgv4U189URIjIAmAOcCOwDHgVmqmowRh0fcBcwAhgGZKpqWn2XpaWweaOLK66qjGt8Uv1+3B07pkidoa1RWlrKrl278Pv9TaqXl5fHxo0bU6QqftJRVzpqgtTrUlVcgRDVlYJbld07hb0lsW/g0+1ceb1e3O4mPqzEwKmhPAU4X1X3iUj40UuAQ5w0IiL5wFLgY2Ai0Be4H6sL+LYYVdsBVwBrgFVA2sWVXbUqRCjk4tjj/OS1i+ZyGgPjGmJwSGlpKSUlJRQWFpKVldWkm7KysjJy0tBXNx11paMmSL0uVaWiKoCIEFLF53Hh9cQ2Oul0rlSViooK9u/fT2lpKblJ8CRw2s9XCUQbPCvEejJ0wlS7nXNVdYmqzgVmAjeKSNRPo6r7gAJVPRN4yeGxmpW3Vioul3L04ADt4ojviiquNPmhGdKbXbt2UVhYSLt27UxcTkPSEZFW/bsSEdq1a0dhYSG7du1KSptODeUS4FYRqfvIoyKSAVyL85mwE4DXVbW0TtlzWMbztFgVNc1jKq1aBf2OCJCXS9PHJwFEzEQegyP8fj9Z5rdiSCEioKT1JbdRfD5fk4cmouHUUP4K6Ax8CjwFKPA74L/AoVixYJ3QH9hUt8COF3vA3tYqCQTg3bUuBg2JI/9kHYwPpcEprfmO35D+uCxL2apJ5n/EacCBrSJyLHAjMBbYgjUu+QLwJ1Xd4/B4+UTupt1rb0saInIldsSgrl27snz58qj7lpeXx9zeGJ980p79+4dxWM8t/O/j3Xy5uZEvqLqaECDl5da6WvdurtWrk6orFaSjJkhPXanSlJeXR1lZWVx1g8Fg3HVTSTrqSkdN0Dy6VLXWlzJYDZWNGJ10PFfBYJDKysrk/AetE9I8C+AHbohQvg34vcM2rsHuiXW6DB06VGOxbNmymNsbY/YDQQXVV5ft1gOV/kb393/+ue5/6SWtWLZMK5Yt0wOvv64Vb76ZdF2pIB01qaanrlRp+vjjj+OuW1pamkQl8TN9+nTFemapt4wdO7bRuieffLJOmjQp5RprztX777+vgK5cuTLlx3RCpO/woYce0pdffrlBeWFhod58881NPoY/ENT9FdVaXlGt1f5AxH2WLFmigG7cuLFJv6tAIKA///nPtXPnzgroHXfcocXFxTpz5swm64xFaWlpo/8VYJ06sCFO/Sg/A85R1Q0Rth0NvKKqfRw0tRfLFzOcfHtbq6SoSOnSNUhhd41rfFL9flzGNcRwkJGXl8fixYsB2L9/P9nZ2eQ5mPk9b948fL4mZuZp48ydO5dhw4Zx9tlnJ6W9VPbsv/DCC8ybN4+///3vHHnkkfTo0YMXXniBWbNm8bvf/S51B04Ap+4hvYmeZqsd0N1hO5sIG4sUkR52G5si1mgFrF4tHDOkirxsX3z94n4/rg4dki/MYEhjPB4PI0aMAJy5F1RUVJCVlcWAAQOaQ95BjSApG6LctGkTnTp14tJLL03REZJP1Mk8IpIrIj1FpKdd1K1mvc5yBHABsN3h8RYBZ4pI3X/EJKCCVpqqa9s22L7NmsiTmx1nwmURXNnZyRVmMDhl50447TT46quWVlJLIGD58T344INcd911dO7cmSFDhgAwcuRILrjggnr7f/DBB0yYMIGcnBxyc3OZNGkSJSUltduXLl2KiLBy5UrOO+88srOz6dOnDw8//HCDY8+ZM4cePXrQrVs3Jk6cyFcRzssjjzzCgAEDyMrKolOnTowaNapRh/v33nuPMWPG0K5dOwoKCvjpT3/K119/Xbv9008/RUSYP38+U6ZMIS8vj+7duzNr1qyYiZRHjhzJhg0beOyxx2pdO55++ul6+9x///0UFhZSUFDARRddRGlpab3te/bsYcqUKXTp0oXMzExOPfUU3l23LubniUQwGOSuu+6ib9++ZGRkcOSRR/LUU0/V0zpz5ky+/vrrWq133nknv/jFLwgGg7Vl48aNa/KxU0msWa+/AD4H/oc1fvCS/b7ushG4AStyjxPmAlXAAhEZZ0+4mYE1Iaj2mxORT0XksboVRWSCiPwIGGyv/8heejk8dkpYWWT9gIcMbXp817oY1xBDi3HHHVBUZL02M4FAoN4SbhDuuecedu/ezVNPPcXs2bMjtrF582ZGjhxJMBjkmWee4fHHH2fDhg388Ic/bLDv5ZdfztChQ1m4cCGnnHIKU6dO5b333qvdPn/+fK677jomTpzI008/zVFHHcWUKVPqtfHmm29y9dVXc+mll7Jo0SIef/xxRowY0cD41KWkpITRo0dTVVXFP//5Tx544AHeeOMNzjjjjAYuDDfddBMdOnTgxRdf5MILL2T69Om89FJ09/F58+Zx+OGHc/bZZ1NcXExxcTHjx4+v3f7ss8+yYsUKHnnkEe6++24WLlzIbbd9F9+lsrKSMWPGsGzZMu6//34WLlxIfn4+PzhrfJP9EK+66iruuecepk2bxmuvvcbZZ5/NpZdeWtvFPm/ePC677DIKCgpqtU6ZMoUbbrgBt9tdjYOAHwAAIABJREFUWzZnzpwmHTfVxOp6fRZYhxUe9xXgl8DmsH2qgc1quXg0iqruFZGxwF+Af2HNgJ2NZSzDdYUP9j0E1DWKL9ivk4EnnBw/FaxcqWRmwVEDQ2R44xifVAVVkzXEkBg33ADr1ze6W1YwCHVDe1VVwZo1EArB3Lnw/vvQ1PG/wYPhgQeaKNh6ivF6699cLlmypN7TRPfu3Xn22WdjtjNjxgy6d+/Oa6+9Vtve0UcfzcCBA3n99dc588wza/e9+OKLufXWWwE47bTT+Ne//sWCBQs47rjjALjrrrv4/ve/z1/+8hfKyso455xzKCkp4YknnqhtY82aNQwZMoSbb765tqyxscE//OEPuN1uXn/9ddq3bw9Av379OPnkk1m4cCHnn39+7b5jxozhD3/4AwCnn346ixYtYsGCBZx77rkR2x4wYADt2rWjc+fOtV3ZdcnMzGTBggW1Id3++9//smDBAv78Z+v55h//+AebN2/m448/pk+fPrUaDj/iCP4650HuvvvumJ+ths2bNzNv3jyefvppLrroIgDGjRvH9u3bmTlzJuPHj2fAgAEUFhbi9Xrrae3Vy7q0R9KfDkR9olTVT1T1NVV9FRgNPGKv112WODWSddr9WFXHqGqWqh6iqrdrWJxXVe2tqpdFKJMIyxNNOX6yWbUKBhxTTae8OMcnQyHrwuRpUsYzgyE5fPEFtX4AqtZ6M5GXl8fatWtZu3Yty5cvZ+3atZxwwgn19jnrrLMabWfp0qWce+65iEjtk2m/fv3o3r0768K6D88444za9z6fj379+rFt2zYAqqur2bBhAxMnTqxXJ9xADR48mHXr1nHTTTexcuVKqqsbz924Zs0axo8fX2skAU466SS6d+9OUVFRVI1gGcIajfEwZsyYenFPBwwYwM6dOwkGrcvu0qVLGT58OD179qw9fy6Xi5EjT6n3tN0YS5cuxev1MnHixHq9BGPHjuX9998nFArF/RlaGqd+lLXjhyLiAhokW1TVA0nU1SooL4cP/ytcfHk1OfGOT/r9uHJyjAO5ITEcPtFV1J00s3Mn9OlT31Du3QvPPQfduqVI6Hd4PB6GDRsGRJ/M07Vr10bb2bNnD3fddRd33XVXg21bt26tt94hbNKcz+ejsrISsEIDhkIhunTpUm+f8PXx48fz6KOPMmfOHGbPnk1OTg6XXHIJ9957L+2i9Azt3LmToUOHRvx833zzjWON8RCpvVAohN/vx+12s3v3boqKiho83QMcfsQRjo+ze/du/H5/1ElZu3btolsz/K5SgVP3EAF+DUwBDouyW/JCtbcS1qyBYFAYMixAdmZ8Y4zq9+M2wdANLcEdd1g9GnUJBq3yv/61ZTSF4eQGMj8/nwsvvJDLLruswbbOnTs7PlaXLl1wuVwNxuUijdNNnjyZyZMns2vXLubPn8+NN95IXl4ed955Z8S2DznkkIjtlJSUcPLJJzvWmAoKCgoYMWJEg3HBQDCEy+38AaCgoACfz0dRUVHE761jK3aBc9rfdx1wC3AfVrqrO4Eg1oxXH/D7lKhLc1YWhRARhg6Lb3wSgGAQSUJ0e4OhyRQXQ3i3YXW1NZ7Qihg7diwffvghQ4cOTahnxufzMWjQIF5++WWuuOKK2vIFCxZErdOlSxemTZvGiy++yMcffxx1vxNOOIHHHnus1l8UoLi4mG3btjFy5Mi4NdfVHu9T59ixY7n99tvp3bs3nTp1qi0PhkJUVEXNftiAMWPGUF1dTXl5OaNHj26SBp/PRzAYJBAI4EnDYSiniqYA04G/YhnKhar6nojcgTUp5/AU6UtriorgsH4BuneLP74rIibGq6FleP/9llaQFGbNmsXxxx/PD37wAyZPnkzHjh3Zvn07//nPf7jiiis45ZRTHLd166238uMf/5hrrrmGcePGsXr1apYuXVpvn9tuu42ysjJOPfVUOnXqxLvvvktRURH3339/1HZ/+ctf8vDDD3PmmWfy61//mtLSUm655RYGDx4ccXZuU+nfvz/Lli3jP//5DwUFBfTp04eCggJHdSdPnszDDz/MqFGjuOmmm+jTpw+7d++muLiYrocUcsP11zlqZ+DAgUyZMoXzzz+fX//61wwdOpSKigo++ugjPvvss4iuOHX1A8yePZtRo0aRl5fHEU3o9k01ToOiHwastyfd+IEOAKoaAv4GtB7P0SQRDMI77wjHDK4mt31iUULMjFeDIX769+/P6tWr8fl8TJkyhQkTJjBjxgyysrJqZ3E65fzzz+eBBx7gpZde4ic/+QkffvghjzzySL19jj/+eP773/8ydepUxo8fz8MPP8ydd97J1VdfHbXdrl27smzZMrxeL5MmTeLaa69l1KhRvP766xHHBpvK7373O4444gjOP/98hg8fzr//7TShE2RlZfHWW28xevRobr/9dk4//XSuv/56Pv/8c4YNG94kHXPnzuXWW2/liSee4Hvf+x6TJ09m0aJFjd6sjB49mhtvvJHZs2dzwgkncNVVVzXpuCnHSZw74Evge/b7T4Cb6my7GNjnpJ2WWlIR63XDBsuvY/o9+7SiKnIsxGjUxHo98Oabuv+llzQUiFz/YIpfmijpqMvEenVOOupKR02qzatrf4xYr3VJx3PV7LFegbeB4Vh5J58FZohIAZYf5dXAG8k03q2BoiIFhOOPD5LhdfpgHkYwiGRlIe6Dbh6UwWBoBZjZ+BZODeUMoNB+/3usrtfLsBIuL8FK3nxQUVQEHTsHOaq/J/4fk4nxajAY0hiXsZOAcz/KzdhReVS1CrjeXg5aVhXDoCF+8hIYn1S/HzGG0mAwpCnmidIizj7Dg5udO+GLz4Vjh/hpl5HAQHwohKuRjAkGg8HQUrhcYowlzrteEZEfA+dgdcFGisxzfBJ1pTVvv229Dh2ewPgkgIgJhm4wGNIWj9s8S4HzyDz3YEXmWQt8ijWJ56ClqEjJyIDjh7sSvtsyriEGg8GQ3jh9ovwZ8FtVdRZGvo3z9tsw4Bg/nfOj5bJ2gCq4XEhmg4dzg8FgMKQRTp+r/cC7qRTSWjhwwMpmNHion3YZ8YdaUr8fyc42/f8Gg8GQ5jg1lA8CV4i5qrNmDQQCwtDhQXyJjE/6/bhMMHSDwWBIe5y6h9wnIn8ENonIW1gJl8N20ZsjVG1z1MSLHnlyYrPBNBAwhtJgMBhaAY4eiUTkIuAGrJivZwHnR1gOCoqKlD79AvQsTCy+K243rjpJXA2Gg4kZM2YgIrVLbm4uIsK4ceMarTty5EguuOCCZlBpsX79ekSkQYLldGLu3Lm88sorDcq7d+/OLbfc0qxaAoEAIsLcuXObVO/TTz9FRFi8eHHM/RYvXsyf//znRCQ2GaeDbPcA/w+YqqplKdST1oRCVmai0Wf4aZeZYCB0r9e4hhgOavLy8movijXpp/Ic9LLMmzcPny/BG9U2xty5cxk2bBhnn312S0vB4/FQXFzc5ID0Tlm8eDGvvvoq113nLKtJMnBqKHOBxw9mIwmwcSPs2yccNyyIz5Ogf5HHY1xDDAc1Ho+HESNGAFBWVkZOI8E3KioqyMrKYsCAAc0hzxAHNd9RzffaVnB6tZ8PNC0TZxukJtDAyJGJh3aSzExIQnodgyFRdu6E006Dr75qaSXfUdN99+CDD3LdddfRuXNnhgwZAkTuev3ggw+YMGECOTk55ObmMmnSJEpKSmq3L126FBFh5cqVnHfeeWRnZ9OnT5+IORLnzJlDjx496NatGxMnTuSrCCfmkUceYcCAAWRlZdGpUydGjRrFxo0bY36m9957jzFjxtCuXTsKCgr46U9/ytdff127vabrcf78+UyZMoW8vDy6d+/OrFmzajI1RWTkyJFs2LCBxx57rLYr++mnn663z/33309hYSEFBQVcdNFFlJaW1tu+Z88epkyZQpcuXcjMzGTkyJGsXbs25uepOadLly7l/PPPp3379txwww0Ru15DoRC//e1v6dy5M7m5uVxxxRU888wziAjbtm2r1+7+/fujfv7bbruNBx98kC1bttR+1rpJtlOFU0P5OnCRiDwqIj8Rke+FL6kUmS68/TYUdAwxaGDiBs6Vk2NcQwxpwR13WEH+Z81q/mMHAoF6S7hBuOeee9i9ezdPPfUUs2fPjtjG5s2bGTlyJMFgkGeeeYbHH3+cDRs2REyIfPnllzN06FAWLlzIKaecwtSpU3nvvfdqt8+fP5/rrruOiRMn8vTTT3PUUUcxZcqUem28+eabXH311Vx66aUsWrSIxx9/nBEjRjQwPnUpKSlh9OjRVFVV8c9//pMHHniAN954gzPOOAO/319v35tuuokOHTrw4osvcuGFFzJ9+nReeumlqG3PmzePww8/nLPPPpvi4mKKi4sZP3587fZnn32WFStW8Mgjj3D33XezcOFCbrvtttrtlZWVjBkzhmXLlnH//fezcOFC8vPzGTduHLt27Yp63BomT57M4MGDeeWVV7jssssi7nP//fdz7733cvXVV/PCCy/g8Xiijp3G+vxTp05l0qRJdO/evfaz3nrrrY1qTBgnubiAUCNL0Ek7dlsDsNJyHQB2ALMAt4N6ecDfgb3At8AzQEcnx0xWPsp+/UI65vQqraxuWv7JcPyff65V69c3ut/BlGMxUdJRV3Pmo7z+etXTTmt8GTnSX/ve5bJyqoYvLpeztmqW669v+meYPn26Ag2WJUuWqKqq3+9XQIcNG9ag7sknn6yTJk2qXb/gggv0qKOO0urq6tqyjRs3qsvl0sWLF6uq6pIlSxTQmTNn1u5TVVWl+fn5+tvf/ra2bMiQIfr9739fVb/LsXjZZZcpoCtXrlRV1bvvvluPP/74Jn3em266SfPz87WsrKy27O2331ZAn3/+eVVV/eSTTxTQyZMn16s7cOBAveiii2rXI+V+PPbYY/Xyyy9vUF5YWKiHH364BurkvL366qu1sLCwdn3u3LmakZGhW7ZsqS2rqqrSXr166S233BL1M9Wc01/+8pf1NNV8dw899JCqqlZXV2vnzp31uuuuq1f/9NNPV0C3bt3apM9//fXXa9++faPqqiGZ+SidPlEe1sjiaNRWRPKBpfafYqJtJG8CZjqo/jwwCrgCK8XXcGChQ/0JU1ICn34qDB0eSHh8UrKzcXXtmiRlBkN8HH88dOkCLvvn7HJZ6yec0DzHz8vLY+3ataxdu5bly5ezdu1aTgg7+FlnndVoO0uXLuXcc89FRGqfTPv160f37t1Zt25dvX3POOOM2vc+n49+/frVdv1VV1ezYcMGJk6cWK/OueeeW2998ODBrFu3jptuuomVK1dSXd14RM81a9Ywfvx42teZ6X7SSSfRvXv3BrNp62oEGDBgQIPuyaYwZswY3HVy3g4YMICdO3cSDAYB6/wNHz6cnj171p4/l8vFqaee2uD8RaKx7+iLL77g66+/bjDRKNrEo2R//mTg1I/yiyQdbypWDstzVbUUWCIiuViJoO+zyxogIicCZwCnqeoKu2w78I6IjFPVpUnSF5VXX7Ve+x+V+Piku1OnJCgyGL7jgQec7VdWVlFv0sy0aTBvHmRmQnU1nHce/O1vKRIZhsfjYdiwYbauyJN5ujq4odyzZw933XUXd911V4NtW7durbfeISytnc/no7KyEoBdu3YRCoXo0qVLvX3C18ePH8+jjz7KnDlzmD17Njk5OVxyySXce++9tIsyQW/nzp0MHTo04uf75ptvHGuMh0jthUIh/H4/breb3bt3U1RUhDfCnIkjjzyy0fYb+45qxng7d+5crzx8PZbeRD5/MohqKEWknaoeqHnfWEM1+zbCBOD1MIP4HHAvcBrwrxj1SmqMpH28NSLyP3tbyg3lnDkAyoo3fPzs4lQfzWBoHkpKYOpUuPJKy2Du3NnSiurj5KY0Pz+fCy+8MOL4WLSLcSS6dOmCy+VqMC4XaZxu8uTJTJ48mV27djF//nxuvPFG8vLyuPPOOyO2fcghh0Rsp6SkhJNPPtmxxlRQUFDAiBEjmGNd5OqR6SAWdWPfUbdu3QDqTVyKtJ7OxHqiLBORE1V1DVCO1V0aC3cj2wH6A2/WLVDVL0XkgL0tmqHsD2yKUL7R3pYysrLgu5sZ4R9PePjHE9YdeEVFKo9sMKSeBQu+e//Xv7acjkQYO3YsH374IUOHDk2ot8fn8zFo0CBefvnlejMpF9Q9SWF06dKFadOm8eKLL/Lxxx9H3e+EE07gscceq/UXBSguLmbbtm2MHDkybs11tcf71DV27Fhuv/12evfuTacU9Hb16tWLzp078/LLLzN27Nja8kgBEpzQEk+YsQzlz4Atdd43ZiidkE/D8HdgTdDJj7NexPFREbkSuBKsroHly5dHbby8vDzq9qef9vG3v/XlzTe7AEJGRpBTTtnNtGlbWL48tdnGYulqKdJRE6SnrlRpysvLo6wsPpfmYDAYd91kUlVVharWagnXFQgEAGtGZrjeYDCI3++vLb/55psZPXo0EyZM4OKLL6agoIAdO3bw5ptvcumll3LSSSdx4IDV4bV///567YW39Ytf/IJLL72UK6+8kvHjx1NUVMSSJUsAOHDgAGVlZcyaNYvy8nJOPvlkOnbsyPr16ykqKuKuu+6Kem6nTp3Kww8/zLhx47jhhhsoLS1lxowZDBo0iLFjx1JWVkZ5eXm949Tg9/vrnZ9I32Hfvn1Zvnx57YzV3r17U1BQgKpSXV1db/8aI1NWVobf7+dHP/oRDz30EKeeeirXXnstvXv3Zs+ePaxdu5bCwkKmTZsW8TPVPad1NUX67q699lpmzpxJ+/btOf7443n11VdrbyxqPq/Tz9+7d2927NjBvHnzOPLII+nUqRM9e/ZsoC8YDFJZWZmc/6CTGT/JWrCykNwQoXwb8PsY9ZYACyOUPw2sauy4ic56nTpV1eUKaWZmSF0u1WnTYu6eNA6mmZyJko66mnPWq1MizZhsCaZPn64dO3asXQ/XFT5zsi7hs15VVT/66CM955xzND8/XzMzM7Vfv37685//XLdt26aq383Q3LhxY6NtPfDAA3rooYdqVlaWnnXWWbpo0aJ6s15ffvllHT16tHbq1EkzMzP1iCOO0Pvuu09DoVDMz7xu3TodNWqUZmZmaocOHfSiiy7SkpKS2u01sz4XLVpUr95FF12kJ5xwQtRzVVN3zJgxmpubq4A+9dRTqmrNer355pvr7fvII48ooBUVFbVle/fu1WuuuUYLCwvV6/VqYWGhnnfeeVpcXBz189Q9p7FmvaqqBoNB/c1vfqMdO3bU9u3b68UXX6xz5sxRoHYmsNPPf+DAAb3kkku0U6dOCkSc7VtznpI169WpgfsMODbKtqOBzxy2swuYHqF8P/CrGPWeB5ZFKH8NeK2x4yZqKM85R/Wqq1TXr7dezzkn5u5J42C6+CdKOuoyhtI56agrHTWppqeueDRdeuml2qdPnxSosUimoXQawq43EC1LcTugu8N2NhE2pigiPew2Io1B1q13SoTy/jSDi0hbGMcxGAyGlmLDhg0sWLCAESNG4HK5eO2113jyySf505/+1NLSHBFr1msuUHeebjcRCe8IzgQuALY7PN4i4FcikqPfxY2dBFQAbzVS73YRGamqRba+YVjjk4scHttgMBgMLUB2djZvvfUWf/7zn9m/fz+9evXij3/8IzfccENLS3NErCfKXwDT+S5qRrQYSoIVNMAJc4HrgAUici+WoZsB/EnruIyIyKfAW6p6OYCqFovIf4AnReSXWNGA7gWKtBl8KA0Gg8EQP/369Uu7yXZNIZahfBZYh2UIXwF+CWwO26ca2KyqXzo5mKruFZGxwF+wXEH2AbOxjGW4rnB3k0n2vo9jxah9FcvoGgwGg8GQMqIaSlX9BPgEQERGA++qanmiB1TVj4ExjezTO0LZPmCyvRgMBzWqaoLqGwwxsObqJAenQUs3ArUhLsTiShF5QER+kDQ1BoOhUbxeLxUm2oXBEJPq6uqIYfniwamhfAJrzLKGWcDfgPHASyJyWVLUGAyGRunSpQvbt2/nwIEDSb1rNhjaAqrKgQMH2L59e4M4vfHi1D3kOGAegIi4sIKb36qq94nITOAGLGNqMBhSTG5uLgA7duxokMuwMSorKx3F72xu0lFXOmqC9NSVbpq8Xi+lpaW1/5VEcWoo84A99vuhQAFWPkiwYrc6nfVqMBiSQG5ublwXgeXLlzNkyJAUKEqMdNSVjpogPXWlo6ZkpuZy2vW6DSvhMsBZwCZVrfGdzANaNgeKwWAwGAwpwukT5ePAfSIyDstQ/qbOthFYk30MBoPBYGhzOE3cfLedKHk4cC2W4ayhAHg0BdoMBoPBYGhxnD5RoqpPAk9GKJ+aVEUGg8FgMKQRUccoReQnIlIQVtZTRDxhZYeKyK2pEmgwGAwGQ0sSazLPU0C/mhURcQP/AwaF7dcDuCP50gwGg8FgaHlidb1Gio/VKmNmvfvuu7tF5IsYu3QCdjeXniaQjrrSUROkpy6jyTnpqCsdNUF66mqtmno5acjxGGVrRlU7x9ouIutUdVhz6XFKOupKR02QnrqMJueko6501ATpqauta3LqR2kwGAwGw0FJY4YyUiBJE1zSYDAYDAcNjXW9vi4igbCyN8LK2kL37byWFhCFdNSVjpogPXUZTc5JR13pqAnSU1eb1iTRsg+IyPSmNKSqM5OiyGAwGAyGNCKqoTQYDAaDwXAQTOYRkQEi8oaIHBCRHSIyy/YJbaxenoj8XUT2isi3IvKMiHRsKU0i4hORP4jIShGpEJGk3uHEqWm4fY4+tettFpHpIpK0fDtx6hooIovt/atE5EsReVREDmkpTWH1XSKyTkRURL6fDE3x6hKR3raO8OW5ltJUp+65IrLW/r3vsb/T7JbQJCIzopwnFZHfxKqbSl12vWEi8h8R+cZelorICS2saaCt6YCI7BaRh0SkfZI09RORh0XkAxEJishyh/Xivqa3hfHFqIhIPrAU+BiYCPQF7se6QbitkerPA0cAVwAh4F5gIXBKC2lqZ2tZA6wCxiSiI0maJtn73gt8ghWM4g779bwW1JWHFRzjSWAHcBgwHRgqIsNVNXzcvTk01eUKoHu8GlKk65fA23XWE/aJS0STiFwB/AW4D/gVkI/1m0/ompWApkeBxWFlPwRuBhYloikRXSLSw673HvBTu/hXwBIROUZVY/mPp0pTHlb6xf/DukZ0xPoeD8E6Z4kyEPgesBrwNqFe/Nd0VW2zC1aWk71Abp2yXwMH6pZFqHci1uzeU+uUHW+XjWsJTfZ+NV3l11hfXYufp04Ryq60z1OvltIVpa3TbV3HtaQmrAv+18Dltp7vt/B32DuZOpL1uwLKgCnpoilKW68BG1v4XE0FgkBe2G8sCExrIU2/AUqBDnXKfmD/zoYl4Vy56rx/EVjuoE5C1/S23vU6AXhdVUvrlD0HZAGnNVKvRFVX1BSo6hqsp5QJLaQJtb/dFBCXJlWN9NTxvv16aEvpikJN4nFfC2u6A+vJ7Y0EdSRbVyqIV9OP7dd/pJGmethddqcD/2xhXV4gAOyvU1ZulyUaSS1eTYOBdaq6r07ZEiyjdFaCmlDVUBzVErqmt3VD2R/YVLdAVb/EuiPq35R6NhsbqZdKTakkmZpOxOrW2NLSuuyxQJ+IHAncA6zF6rpuEU0iMgj4GVY3Z7JJ9Dv8uz3es1NE/iQiWS2o6QRgM3C5iGwTEb+IvCMiJ7WgpnDOwzJSyTKU8eqab+9zv4h0EZEuwGysJ8EXWkhTJlAdVhbAui4claCmeEnomt7WDWU+sC9C+V57W7LrpVJTKkmKJhHphjV28ZSq7koDXf8GqrD+IAVY3Yvx3I0mS9Mc4C+q+mmCGiIRr64q4K9YXcFjgYeBaVhPDi2lqRtwJNZv6Wasbrv9wGIR6dpCmsK5AHhPVT9JUE8NcelS1R3AaCzDXWIv5wJnqurXLaEJ+BQ4VkTqjh8OBdxY/8OWIKHvva0bSkMzISI+rMHycuAXLSynhmuBEViTHNoDiySJM3KbgohcgHXxv7Mljh8NVd2pqteo6iuqulxVZwA3AmeLyLEtJEuwvq/LVfUZVV2MNQkkiDU+36LYs6dPI3lPk4lqeQF4F6sLcYL9/jUR6dlCsh4BOgNzRKSbiAwE/ob1/SV6o9oitHVDuRdrBmQ4+fa2ZNdLpaZUkpAmERGsGaYDge+parI+R0K6VPUTVX1HVZ8GzgSGAD9pbk32nfUfsGbZuUSkA5Brb84WkZwENcWlKwYv2q9DE1KU2P9PgeU1BfY42bvAgBbSVJcfYxnz/5eglrrEq+tXWF3AP1LVxfZNxXlYRinRLv64NKnqJqxJfRcCO4EPsIY81gNfJagpXhL63tu6odxEWP+zPZ26HZH7q6PWs4nWz90cmlJJopoewJo+PtH+k6SLrlrUmib/DdCnBTRlY7mD/AnrT7kX2GBve47vJkA1t65oaNhrc2vaiGWIwiejCIk/kSTjPF0AFKnq1gS1JENXf+AjVfXXFKhqNfARljtHS2hCVR8HumK5ih2K1RPQD8uloyVI6Jre1g3lIuDMsDv2SUAF8FYj9bqJyMiaAhEZhnWRTdRnKl5NqSRuTbaz9TXAxapalC66wrEn9HTEmuXW3JrKscaR6i4X2ttuBS5KUFO8uqLxI/v13RbS9Kr9OrqmwPbNG8p3NxjNralGR2+s7vxkd7vGq+sL4Gh76KNGYwZwNPB5C2kCQFUrVfW/qloCXIxlb55PUFO8JHZNT9SnJZ0XrMfqnVhTk8dhdQeUA3eG7fcp8FhY2evAZ1gD4z/EmoW3soU1TcC6iD2Kdbf/I3vp1RKasLoxFfg71sWj7tK5pc4V8EesWa7nYF1sr8K6aHwKZLfU9xe2vTfJ9aOM91zNwHIiP9euNwvrQji/hX/rC+26l2K5FLyF5X+a35LfH3AL4CeCD3ELfX9DbT2v2efp+1j7RHqfAAAEeElEQVQXfj9wbAtpysUaZjgLa8jjHlvPZUk6V+347tpXjPX0XLPeLsZvKu5retK+6HRdsMY03rT//Dux/NjcYft8DjwRVtYBywDsw3KefTZZf44ENH2OdXENXxL+AcajCXgiip6kaEpA1wVYvorfYE1l34RlDFr0+wvb3pskO/oncK7WAd9iTen/FMtYZrTwb7098BCW/2sFVoSYY1r6+8MaZ1ucrO8sSedqLLDC/r1/g3VTMaoFf1PZwH9sLRVYblk/TOJ5qvnvRFp6xzhPcV/TTVB0g8FgMBhi0NbHKA0Gg8FgSAhjKA0Gg8FgiIExlAaDwWAwxMAYSoPBYDAYYmAMpcFgMBgMMTCG0mAwGAyGGBhDaTAYDAZDDIyhNBgMBoMhBsZQGgytEBF5WEQq7NijBoMhhRhDaTC0MuxgzmcC92FlbjEYDCnEGEqDoRVh5/78C1aA6plAJxE5M9b+IrJeRC4NKz9CRGbUzTrRyHH/IiKPJaLdYGitmFivBkMbRkQmYSWN7qt1chaKyPXAb1W1i8N2emMFlz9aVT9NgVSDIW0xT5QGQ9vmOuCpukbSZhDwodNGVPVzoAiYljxpBkPrwBhKg6GVICKniYiKyPfqlB0mIrtE5M8R9u8HnAS8GFa+C/gZMNpuT0VkjAMJ84GLRMRcNwwHFabr1WBoRYjIm1i5Ik8WkTxgFfA/YKKqBsP2/TlWHs5cVQ3ZZQKcACyzt71q775eVSsbOfaxWPkYB6vqhiR+LIMhrTF3hgZD62I6cJKInAE8j5U5/oJwI2kzFNhYYyQB1Loz/grIBF5V1dX2EtNI2nwEBIHjE/0QBkNrwtPSAgwGg3NUdaWILAVewsrUfoKqlkfZvRuwO0L5IKxs8P9t4rEDIrLPbtdgOGgwT5QGQ+vjU6AdMF1Vt9XdICL9ReRRezUTqIpQfxDwmaruD6v7kIhsF5FY4zFVdrsGw0GDMZQGQytCRK7EmoizAbg8fLuqblLVK+zVb4AOEZoZZNcP55/AcY1I6GC3azAcNBhDaTC0EkTkdOCvwBRgKjBCRCaE7TNXRC6wVzcDh0Voqj+WT2Q9VHWFqpbEOH5nrCfZ/4vvExgMrRNjKA2GVoCIDAReAO5V1SdVdTWwFJgRtutgrJmpAG8DPW0DV5dS4FQROVVERtgzYZ0wDGtsc1U8n8FgaK0YQ2kwpDki0gXLjeM/wO11Nt0BHC8iZ9n7uYA+fPfEtxyrm3R8WJO3AAXAG8BCde4jNh54S1X3xPExDIZWi/GjNBjaCCLSH3hCVUfUKXsQ+P/t3LFpw0AUx+H/kSncmyyTOgvES3gHr5AyRdYyeIc0gefCMogEXghWI/F9lRDocd2POzjtq+rlH3OqqsaPd09JzkmOVfWx1JphDewoYTvmx653p9z+wPP84OzXJF9JPh+cA6sjlLAdv0I5XR95S7L76+MxxvsY4zI9X2bXTJJkJDlU1feC64VVcPQKAA07SgBoCCUANIQSABpCCQANoQSAhlACQEMoAaAhlADQuAIqIfckZMwMRQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 20\n",
    "t_1 = 1\n",
    "\n",
    "populations = plot_EP(N, t_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Populations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Friends on the Left</th>\n",
       "      <th>Friends on the Right</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.00</td>\n",
       "      <td>1474.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.00</td>\n",
       "      <td>1702.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18.00</td>\n",
       "      <td>2815.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>36.00</td>\n",
       "      <td>4214.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>83.00</td>\n",
       "      <td>5845.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>132.00</td>\n",
       "      <td>7408.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>292.00</td>\n",
       "      <td>9002.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>928.00</td>\n",
       "      <td>9169.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2458.00</td>\n",
       "      <td>7777.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>5856.00</td>\n",
       "      <td>5022.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>8263.00</td>\n",
       "      <td>2612.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>8987.00</td>\n",
       "      <td>1288.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>7990.00</td>\n",
       "      <td>675.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>6444.00</td>\n",
       "      <td>312.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>4725.00</td>\n",
       "      <td>158.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>3213.00</td>\n",
       "      <td>76.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1843.00</td>\n",
       "      <td>19.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>974.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>457.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>98.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Friends on the Left  Friends on the Right\n",
       "1                  0.00               1474.00\n",
       "2                  4.00               1702.00\n",
       "3                 18.00               2815.00\n",
       "4                 36.00               4214.00\n",
       "5                 83.00               5845.00\n",
       "6                132.00               7408.00\n",
       "7                292.00               9002.00\n",
       "8                928.00               9169.00\n",
       "9               2458.00               7777.00\n",
       "10              5856.00               5022.00\n",
       "11              8263.00               2612.00\n",
       "12              8987.00               1288.00\n",
       "13              7990.00                675.00\n",
       "14              6444.00                312.00\n",
       "15              4725.00                158.00\n",
       "16              3213.00                 76.00\n",
       "17              1843.00                 19.00\n",
       "18               974.00                  1.00\n",
       "19               457.00                  0.00\n",
       "20                98.00                  0.00"
      ]
     },
     "execution_count": 203,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(populations.T, index=np.arange(1, N+1), columns=['Friends on the Left', 'Friends on the Right'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t2->t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ce199f9052874fb2a502374cc69b7094",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=10), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 10\n",
    "t_1 = 2\n",
    "\n",
    "populations = plot_EP(N, t_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2cc7a2d2acbd46eebd2bc37c383b1ac6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=40), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 40\n",
    "t_1 = 2\n",
    "\n",
    "populations = plot_EP(N, t_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "75f81088f42047e48b5e2b991774073a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=20), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 20\n",
    "t_1 = 2\n",
    "\n",
    "populations = plot_EP(N, t_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Populations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Friends on the Left</th>\n",
       "      <th>Friends on the Right</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.00</td>\n",
       "      <td>1160.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.00</td>\n",
       "      <td>998.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.00</td>\n",
       "      <td>1644.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>26.00</td>\n",
       "      <td>2331.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>34.00</td>\n",
       "      <td>3142.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>93.00</td>\n",
       "      <td>3989.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>214.00</td>\n",
       "      <td>4788.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>602.00</td>\n",
       "      <td>4827.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1512.00</td>\n",
       "      <td>4109.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>3476.00</td>\n",
       "      <td>2658.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>5034.00</td>\n",
       "      <td>1466.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>5613.00</td>\n",
       "      <td>745.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>4719.00</td>\n",
       "      <td>417.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>3820.00</td>\n",
       "      <td>191.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2774.00</td>\n",
       "      <td>99.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1882.00</td>\n",
       "      <td>53.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1130.00</td>\n",
       "      <td>7.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>594.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>299.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>102.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Friends on the Left  Friends on the Right\n",
       "1                  0.00               1160.00\n",
       "2                  1.00                998.00\n",
       "3                 11.00               1644.00\n",
       "4                 26.00               2331.00\n",
       "5                 34.00               3142.00\n",
       "6                 93.00               3989.00\n",
       "7                214.00               4788.00\n",
       "8                602.00               4827.00\n",
       "9               1512.00               4109.00\n",
       "10              3476.00               2658.00\n",
       "11              5034.00               1466.00\n",
       "12              5613.00                745.00\n",
       "13              4719.00                417.00\n",
       "14              3820.00                191.00\n",
       "15              2774.00                 99.00\n",
       "16              1882.00                 53.00\n",
       "17              1130.00                  7.00\n",
       "18               594.00                  4.00\n",
       "19               299.00                  0.00\n",
       "20               102.00                  0.00"
      ]
     },
     "execution_count": 207,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(populations.T, index=np.arange(1, N+1), columns=['Friends on the Left', 'Friends on the Right'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.36840314986403866, 1)"
      ]
     },
     "execution_count": 210,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "proportion_confint(3, 3, alpha=0.05, method='binom_test')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Problem of Skipping"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fraction of PD-movements"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t1->t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.47139129093068033"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = 20\n",
    "\n",
    "Minimal_Interval = 1 / N\n",
    "\n",
    "t_1 = 1\n",
    "t_2 = t_1 + 1\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "op_change = data[x_2] - data[x_1]\n",
    "cond_change = abs(op_change) > Minimal_Interval\n",
    "\n",
    "fr_diff = data[fr_1] - data[x_1]\n",
    "cond_fr = abs(fr_diff) > Minimal_Interval\n",
    "\n",
    "cond_PD = (op_change * fr_diff > 0) & cond_change & cond_fr\n",
    "\n",
    "print(data[cond_PD].shape[0] / data[cond_change].shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t2->t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4559470074447506"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = 20\n",
    "\n",
    "Minimal_Interval = 1 / N\n",
    "\n",
    "t_1 = 2\n",
    "t_2 = t_1 + 1\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "op_change = data[x_2] - data[x_1]\n",
    "cond_change = abs(op_change) > Minimal_Interval\n",
    "\n",
    "fr_diff = data[fr_1] - data[x_1]\n",
    "cond_fr = abs(fr_diff) > Minimal_Interval\n",
    "\n",
    "cond_PD = (op_change * fr_diff > 0) & cond_change & cond_fr\n",
    "\n",
    "print(data[cond_PD].shape[0] / data[cond_change].shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fraction of NSPD-movements among PD-ones"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t1->t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8762577027623208"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = 20\n",
    "\n",
    "Minimal_Interval = 1 / N\n",
    "\n",
    "t_1 = 1\n",
    "t_2 = t_1 + 1\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "op_change = data[x_2] - data[x_1]\n",
    "condition_change = abs(op_change) > Minimal_Interval\n",
    "\n",
    "cond_left = data[x_2] < data[x_1] - Minimal_Interval   #Move on the left\n",
    "cond_fr_left = data[fr_1] < data[x_1] - Minimal_Interval  #Friends on the left\n",
    "cond_PD_left = cond_left & cond_fr_left\n",
    "condition_NSPD_left = (data[fr_1] - Minimal_Interval <= data[x_2]) & cond_PD_left\n",
    "\n",
    "cond_right = data[x_1] + Minimal_Interval < data[x_2]  #Move on the right\n",
    "cond_fr_right = data[x_1] + Minimal_Interval < data[fr_1]  #Friends on the right\n",
    "cond_PD_right = cond_right & cond_fr_right\n",
    "condition_NSPD_right = (data[x_2] <= data[fr_1] + Minimal_Interval) & cond_PD_right\n",
    "\n",
    "\n",
    "print(data[condition_NSPD_right | condition_NSPD_left].shape[0] / data[cond_PD_left | cond_PD_right].shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t2->t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9028284906145538\n"
     ]
    }
   ],
   "source": [
    "N = 20\n",
    "\n",
    "Minimal_Interval = 1 / N\n",
    "\n",
    "t_1 = 2\n",
    "t_2 = t_1 + 1\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "op_change = data[x_2] - data[x_1]\n",
    "condition_change = abs(op_change) > Minimal_Interval\n",
    "\n",
    "cond_left = data[x_2] < data[x_1] - Minimal_Interval   #Move on the left\n",
    "cond_fr_left = data[fr_1] < data[x_1] - Minimal_Interval  #Friends on the left\n",
    "cond_PD_left = cond_left & cond_fr_left\n",
    "condition_NSPD_left = (data[fr_1] - Minimal_Interval <= data[x_2]) & cond_PD_left\n",
    "\n",
    "cond_right = data[x_1] + Minimal_Interval < data[x_2]  #Move on the right\n",
    "cond_fr_right = data[x_1] + Minimal_Interval < data[fr_1]  #Friends on the right\n",
    "cond_PD_right = cond_right & cond_fr_right\n",
    "condition_NSPD_right = (data[x_2] <= data[fr_1] + Minimal_Interval) & cond_PD_right\n",
    "\n",
    "\n",
    "print(data[condition_NSPD_right | condition_NSPD_left].shape[0] / data[cond_PD_left | cond_PD_right].shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fraction of NSPD-movements as a fucntion of individual's opinion and ther friends' average opinion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t1->t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0843e1773c834d54b2fc34c89f2972d6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=20), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:49: UserWarning:\n",
      "\n",
      "Boolean Series key will be reindexed to match DataFrame index.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "N = 20\n",
    "threshold_values = np.array(range(N + 1)) / N\n",
    "Minimal_Interval = 1 / N\n",
    "\n",
    "t_1 = 1\n",
    "t_2 = t_1 + 1\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "results = np.zeros((len(threshold_values) - 1, \n",
    "                    len(threshold_values) - 1))\n",
    "\n",
    "populations = np.zeros((len(threshold_values) - 1, \n",
    "                        len(threshold_values) - 1))\n",
    "\n",
    "op_change = data[x_2] - data[x_1]\n",
    "cond_change = abs(op_change) > Minimal_Interval\n",
    "\n",
    "fr_diff = data[fr_1] - data[x_1]\n",
    "cond_fr = abs(fr_diff) > Minimal_Interval\n",
    "\n",
    "cond_PD = (op_change * fr_diff > 0) & cond_change & cond_fr\n",
    "\n",
    "for j in tqdm(range(len(threshold_values) - 1)):\n",
    "    \n",
    "    thresholds_j = (threshold_values[j], threshold_values[j+1])\n",
    "    \n",
    "    if j:\n",
    "        cond_self_position = (data[x_1] > thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "    else:\n",
    "        cond_self_position = (data[x_1] >= thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "    \n",
    "    data_sample = data[cond_self_position & cond_PD]\n",
    "    \n",
    "    for m in range(len(threshold_values) - 1):  \n",
    "        \n",
    "        if m != j:\n",
    "        \n",
    "            thresholds_m = (threshold_values[m], threshold_values[m+1])\n",
    "\n",
    "            if m:\n",
    "                cond_fr_position = (data[fr_1] > thresholds_m[0]) & (data[fr_1] <= thresholds_m[1])\n",
    "            else:\n",
    "                cond_fr_position = (data[fr_1] >= thresholds_m[0]) & (data[fr_1] <= thresholds_m[1])\n",
    "\n",
    "            data_sample_sample = data_sample[cond_fr_position]\n",
    "            if m < j:\n",
    "                condition_NSPD = data_sample_sample[fr_1] - Minimal_Interval <= data_sample_sample[x_2]\n",
    "            elif m > j:\n",
    "                condition_NSPD = data_sample_sample[x_2] <= data_sample_sample[fr_1] + Minimal_Interval\n",
    "\n",
    "            if data_sample_sample.shape[0] > 0:\n",
    "                populations[j, m] = data_sample_sample.shape[0]\n",
    "                results[j, m] = data_sample_sample[condition_NSPD].shape[0] / data_sample_sample.shape[0]\n",
    "            else:\n",
    "                results[j, m] = None\n",
    "                \n",
    "        elif m == j:\n",
    "            populations[j, m] = None\n",
    "            results[j, m] = None "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Heatmap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_size = 10\n",
    "plt.figure(figsize=(fig_size, fig_size))\n",
    "ax = sns.heatmap(results, annot=False, cmap=\"YlGnBu\", xticklabels=False, yticklabels=False)\n",
    "\n",
    "plt.xlabel('$\\hat{x}_{-i}(t_{' + str(t_1) + '})$', fontsize = 15)\n",
    "plt.ylabel('$\\hat{x}_{i}(t_{' + str(t_1) + '})$', fontsize = 15)\n",
    "plt.savefig('image.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Populations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>nan</td>\n",
       "      <td>1.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>54.000</td>\n",
       "      <td>110.000</td>\n",
       "      <td>270.000</td>\n",
       "      <td>350.000</td>\n",
       "      <td>319.000</td>\n",
       "      <td>186.000</td>\n",
       "      <td>77.000</td>\n",
       "      <td>28.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>4.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>77.000</td>\n",
       "      <td>163.000</td>\n",
       "      <td>276.000</td>\n",
       "      <td>298.000</td>\n",
       "      <td>230.000</td>\n",
       "      <td>120.000</td>\n",
       "      <td>44.000</td>\n",
       "      <td>23.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>9.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>2.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>63.000</td>\n",
       "      <td>189.000</td>\n",
       "      <td>342.000</td>\n",
       "      <td>401.000</td>\n",
       "      <td>336.000</td>\n",
       "      <td>155.000</td>\n",
       "      <td>77.000</td>\n",
       "      <td>36.000</td>\n",
       "      <td>24.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>19.000</td>\n",
       "      <td>78.000</td>\n",
       "      <td>219.000</td>\n",
       "      <td>448.000</td>\n",
       "      <td>611.000</td>\n",
       "      <td>523.000</td>\n",
       "      <td>297.000</td>\n",
       "      <td>120.000</td>\n",
       "      <td>63.000</td>\n",
       "      <td>33.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>8.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>45.000</td>\n",
       "      <td>246.000</td>\n",
       "      <td>551.000</td>\n",
       "      <td>846.000</td>\n",
       "      <td>751.000</td>\n",
       "      <td>415.000</td>\n",
       "      <td>220.000</td>\n",
       "      <td>69.000</td>\n",
       "      <td>41.000</td>\n",
       "      <td>28.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>16.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>151.000</td>\n",
       "      <td>676.000</td>\n",
       "      <td>1062.000</td>\n",
       "      <td>981.000</td>\n",
       "      <td>620.000</td>\n",
       "      <td>276.000</td>\n",
       "      <td>132.000</td>\n",
       "      <td>63.000</td>\n",
       "      <td>33.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>19.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>45.000</td>\n",
       "      <td>50.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>479.000</td>\n",
       "      <td>1475.000</td>\n",
       "      <td>1496.000</td>\n",
       "      <td>827.000</td>\n",
       "      <td>377.000</td>\n",
       "      <td>152.000</td>\n",
       "      <td>88.000</td>\n",
       "      <td>45.000</td>\n",
       "      <td>23.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>21.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>69.000</td>\n",
       "      <td>185.000</td>\n",
       "      <td>215.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>874.000</td>\n",
       "      <td>1870.000</td>\n",
       "      <td>1146.000</td>\n",
       "      <td>553.000</td>\n",
       "      <td>225.000</td>\n",
       "      <td>106.000</td>\n",
       "      <td>47.000</td>\n",
       "      <td>34.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>25.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>19.000</td>\n",
       "      <td>32.000</td>\n",
       "      <td>91.000</td>\n",
       "      <td>192.000</td>\n",
       "      <td>550.000</td>\n",
       "      <td>682.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>1095.000</td>\n",
       "      <td>1552.000</td>\n",
       "      <td>681.000</td>\n",
       "      <td>326.000</td>\n",
       "      <td>168.000</td>\n",
       "      <td>72.000</td>\n",
       "      <td>53.000</td>\n",
       "      <td>25.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>30.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>50.000</td>\n",
       "      <td>61.000</td>\n",
       "      <td>64.000</td>\n",
       "      <td>256.000</td>\n",
       "      <td>652.000</td>\n",
       "      <td>1676.000</td>\n",
       "      <td>1509.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>667.000</td>\n",
       "      <td>713.000</td>\n",
       "      <td>379.000</td>\n",
       "      <td>181.000</td>\n",
       "      <td>120.000</td>\n",
       "      <td>55.000</td>\n",
       "      <td>38.000</td>\n",
       "      <td>33.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>3.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>21.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>42.000</td>\n",
       "      <td>61.000</td>\n",
       "      <td>138.000</td>\n",
       "      <td>399.000</td>\n",
       "      <td>1110.000</td>\n",
       "      <td>2512.000</td>\n",
       "      <td>1590.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>321.000</td>\n",
       "      <td>370.000</td>\n",
       "      <td>221.000</td>\n",
       "      <td>129.000</td>\n",
       "      <td>58.000</td>\n",
       "      <td>56.000</td>\n",
       "      <td>19.000</td>\n",
       "      <td>24.000</td>\n",
       "      <td>3.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>19.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>27.000</td>\n",
       "      <td>43.000</td>\n",
       "      <td>92.000</td>\n",
       "      <td>276.000</td>\n",
       "      <td>726.000</td>\n",
       "      <td>1751.000</td>\n",
       "      <td>2393.000</td>\n",
       "      <td>861.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>183.000</td>\n",
       "      <td>188.000</td>\n",
       "      <td>99.000</td>\n",
       "      <td>64.000</td>\n",
       "      <td>32.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>5.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>17.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>81.000</td>\n",
       "      <td>168.000</td>\n",
       "      <td>486.000</td>\n",
       "      <td>1237.000</td>\n",
       "      <td>1751.000</td>\n",
       "      <td>1389.000</td>\n",
       "      <td>372.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>80.000</td>\n",
       "      <td>100.000</td>\n",
       "      <td>63.000</td>\n",
       "      <td>39.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>3.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>12.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>62.000</td>\n",
       "      <td>127.000</td>\n",
       "      <td>319.000</td>\n",
       "      <td>828.000</td>\n",
       "      <td>1308.000</td>\n",
       "      <td>1019.000</td>\n",
       "      <td>591.000</td>\n",
       "      <td>176.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>49.000</td>\n",
       "      <td>58.000</td>\n",
       "      <td>24.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>14.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>45.000</td>\n",
       "      <td>89.000</td>\n",
       "      <td>256.000</td>\n",
       "      <td>539.000</td>\n",
       "      <td>850.000</td>\n",
       "      <td>763.000</td>\n",
       "      <td>444.000</td>\n",
       "      <td>257.000</td>\n",
       "      <td>73.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>18.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>10.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>37.000</td>\n",
       "      <td>55.000</td>\n",
       "      <td>171.000</td>\n",
       "      <td>348.000</td>\n",
       "      <td>563.000</td>\n",
       "      <td>573.000</td>\n",
       "      <td>301.000</td>\n",
       "      <td>200.000</td>\n",
       "      <td>104.000</td>\n",
       "      <td>37.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>5.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>11.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>35.000</td>\n",
       "      <td>84.000</td>\n",
       "      <td>215.000</td>\n",
       "      <td>296.000</td>\n",
       "      <td>280.000</td>\n",
       "      <td>190.000</td>\n",
       "      <td>125.000</td>\n",
       "      <td>105.000</td>\n",
       "      <td>42.000</td>\n",
       "      <td>17.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>4.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>3.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>17.000</td>\n",
       "      <td>53.000</td>\n",
       "      <td>112.000</td>\n",
       "      <td>171.000</td>\n",
       "      <td>152.000</td>\n",
       "      <td>118.000</td>\n",
       "      <td>71.000</td>\n",
       "      <td>51.000</td>\n",
       "      <td>40.000</td>\n",
       "      <td>25.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>27.000</td>\n",
       "      <td>63.000</td>\n",
       "      <td>70.000</td>\n",
       "      <td>64.000</td>\n",
       "      <td>71.000</td>\n",
       "      <td>33.000</td>\n",
       "      <td>32.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>19.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>nan</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       1      2      3      4      5       6       7        8        9   \\\n",
       "1     nan  1.000 10.000  9.000 18.000  54.000 110.000  270.000  350.000   \n",
       "2   1.000    nan  4.000 12.000 22.000  77.000 163.000  276.000  298.000   \n",
       "3   9.000  2.000    nan  2.000 18.000  63.000 189.000  342.000  401.000   \n",
       "4   7.000  6.000  3.000    nan 19.000  78.000 219.000  448.000  611.000   \n",
       "5   8.000 12.000 10.000 11.000    nan  45.000 246.000  551.000  846.000   \n",
       "6  16.000 11.000 13.000 18.000 14.000     nan 151.000  676.000 1062.000   \n",
       "7  19.000 11.000 15.000 18.000 45.000  50.000     nan  479.000 1475.000   \n",
       "8  21.000 15.000 21.000 31.000 69.000 185.000 215.000      nan  874.000   \n",
       "9  25.000 18.000 19.000 32.000 91.000 192.000 550.000  682.000      nan   \n",
       "10 30.000 20.000 50.000 61.000 64.000 256.000 652.000 1676.000 1509.000   \n",
       "11 21.000 13.000 21.000 42.000 61.000 138.000 399.000 1110.000 2512.000   \n",
       "12 19.000 12.000 16.000 27.000 43.000  92.000 276.000  726.000 1751.000   \n",
       "13 17.000 16.000 16.000 22.000 31.000  81.000 168.000  486.000 1237.000   \n",
       "14 12.000  5.000 13.000 20.000 22.000  62.000 127.000  319.000  828.000   \n",
       "15 14.000  6.000  9.000  9.000 20.000  45.000  89.000  256.000  539.000   \n",
       "16 10.000  3.000  5.000  8.000 12.000  37.000  55.000  171.000  348.000   \n",
       "17 11.000  3.000  3.000  4.000 10.000  20.000  35.000   84.000  215.000   \n",
       "18  3.000  0.000  1.000  7.000  5.000   9.000  17.000   53.000  112.000   \n",
       "19  2.000  2.000  4.000  0.000  2.000   5.000  15.000   27.000   63.000   \n",
       "20  0.000  0.000  0.000  0.000  1.000   2.000   2.000    7.000   13.000   \n",
       "\n",
       "         10       11      12      13      14      15     16     17     18  \\\n",
       "1   319.000  186.000  77.000  28.000  16.000  10.000  4.000  6.000  3.000   \n",
       "2   230.000  120.000  44.000  23.000  12.000   8.000  3.000  5.000  2.000   \n",
       "3   336.000  155.000  77.000  36.000  24.000  13.000  4.000  4.000  2.000   \n",
       "4   523.000  297.000 120.000  63.000  33.000  21.000 10.000  4.000  4.000   \n",
       "5   751.000  415.000 220.000  69.000  41.000  28.000 16.000  7.000  6.000   \n",
       "6   981.000  620.000 276.000 132.000  63.000  33.000 13.000 12.000  9.000   \n",
       "7  1496.000  827.000 377.000 152.000  88.000  45.000 23.000 12.000  3.000   \n",
       "8  1870.000 1146.000 553.000 225.000 106.000  47.000 34.000 20.000 13.000   \n",
       "9  1095.000 1552.000 681.000 326.000 168.000  72.000 53.000 25.000 22.000   \n",
       "10      nan  667.000 713.000 379.000 181.000 120.000 55.000 38.000 33.000   \n",
       "11 1590.000      nan 321.000 370.000 221.000 129.000 58.000 56.000 19.000   \n",
       "12 2393.000  861.000     nan 183.000 188.000  99.000 64.000 32.000 31.000   \n",
       "13 1751.000 1389.000 372.000     nan  80.000 100.000 63.000 39.000 22.000   \n",
       "14 1308.000 1019.000 591.000 176.000     nan  49.000 58.000 24.000 14.000   \n",
       "15  850.000  763.000 444.000 257.000  73.000     nan 18.000 22.000 20.000   \n",
       "16  563.000  573.000 301.000 200.000 104.000  37.000    nan  5.000  7.000   \n",
       "17  296.000  280.000 190.000 125.000 105.000  42.000 17.000    nan  4.000   \n",
       "18  171.000  152.000 118.000  71.000  51.000  40.000 25.000  3.000    nan   \n",
       "19   70.000   64.000  71.000  33.000  32.000  18.000 16.000  7.000  1.000   \n",
       "20   14.000   19.000  12.000   9.000  10.000   3.000  2.000  2.000  2.000   \n",
       "\n",
       "       19    20  \n",
       "1   1.000 2.000  \n",
       "2   3.000 0.000  \n",
       "3   0.000 1.000  \n",
       "4   2.000 0.000  \n",
       "5   4.000 0.000  \n",
       "6   5.000 2.000  \n",
       "7  11.000 2.000  \n",
       "8   6.000 2.000  \n",
       "9  16.000 1.000  \n",
       "10 16.000 3.000  \n",
       "11 24.000 3.000  \n",
       "12 12.000 5.000  \n",
       "13 16.000 3.000  \n",
       "14  9.000 2.000  \n",
       "15  6.000 1.000  \n",
       "16  7.000 2.000  \n",
       "17  0.000 1.000  \n",
       "18  0.000 0.000  \n",
       "19    nan 0.000  \n",
       "20  0.000   nan  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(populations, columns=np.arange(1, N+1), index = np.arange(1, N+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### t2->t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7afd9bb532db4917bdf35dc0936097a6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=20), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:49: UserWarning:\n",
      "\n",
      "Boolean Series key will be reindexed to match DataFrame index.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "N = 20\n",
    "threshold_values = np.array(range(N + 1)) / N\n",
    "Minimal_Interval = 1 / N\n",
    "\n",
    "t_1 = 2\n",
    "t_2 = t_1 + 1\n",
    "\n",
    "x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "results = np.zeros((len(threshold_values) - 1, \n",
    "                    len(threshold_values) - 1))\n",
    "\n",
    "populations = np.zeros((len(threshold_values) - 1, \n",
    "                        len(threshold_values) - 1))\n",
    "\n",
    "op_change = data[x_2] - data[x_1]\n",
    "cond_change = abs(op_change) > Minimal_Interval\n",
    "\n",
    "fr_diff = data[fr_1] - data[x_1]\n",
    "cond_fr = abs(fr_diff) > Minimal_Interval\n",
    "\n",
    "cond_PD = (op_change * fr_diff > 0) & cond_change & cond_fr\n",
    "\n",
    "for j in tqdm(range(len(threshold_values) - 1)):\n",
    "    \n",
    "    thresholds_j = (threshold_values[j], threshold_values[j+1])\n",
    "    \n",
    "    if j:\n",
    "        cond_self_position = (data[x_1] > thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "    else:\n",
    "        cond_self_position = (data[x_1] >= thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "    \n",
    "    data_sample = data[cond_self_position & cond_PD]\n",
    "    \n",
    "    for m in range(len(threshold_values) - 1):  \n",
    "        \n",
    "        if m != j:\n",
    "        \n",
    "            thresholds_m = (threshold_values[m], threshold_values[m+1])\n",
    "\n",
    "            if m:\n",
    "                cond_fr_position = (data[fr_1] > thresholds_m[0]) & (data[fr_1] <= thresholds_m[1])\n",
    "            else:\n",
    "                cond_fr_position = (data[fr_1] >= thresholds_m[0]) & (data[fr_1] <= thresholds_m[1])\n",
    "\n",
    "            data_sample_sample = data_sample[cond_fr_position]\n",
    "            if m < j:\n",
    "                condition_NSPD = data_sample_sample[fr_1] - Minimal_Interval <= data_sample_sample[x_2]\n",
    "            elif m > j:\n",
    "                condition_NSPD = data_sample_sample[x_2] <= data_sample_sample[fr_1] + Minimal_Interval\n",
    "\n",
    "            if data_sample_sample.shape[0] > 0:\n",
    "                populations[j, m] = data_sample_sample.shape[0]\n",
    "                results[j, m] = data_sample_sample[condition_NSPD].shape[0] / data_sample_sample.shape[0]\n",
    "            else:\n",
    "                results[j, m] = None\n",
    "                \n",
    "        elif m == j:\n",
    "            populations[j, m] = None\n",
    "            results[j, m] = None "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Heatmap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_size = 10\n",
    "plt.figure(figsize=(fig_size, fig_size))\n",
    "ax = sns.heatmap(results, annot=False, cmap=\"YlGnBu\", xticklabels=False, yticklabels=False)\n",
    "\n",
    "plt.xlabel('$\\hat{x}_{-i}(t_{' + str(t_1) + '})$', fontsize = 15)\n",
    "plt.ylabel('$\\hat{x}_{i}(t_{' + str(t_1) + '})$', fontsize = 15)\n",
    "plt.savefig('image.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Populations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>nan</td>\n",
       "      <td>2.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>19.000</td>\n",
       "      <td>44.000</td>\n",
       "      <td>130.000</td>\n",
       "      <td>213.000</td>\n",
       "      <td>266.000</td>\n",
       "      <td>226.000</td>\n",
       "      <td>132.000</td>\n",
       "      <td>49.000</td>\n",
       "      <td>33.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>2.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>43.000</td>\n",
       "      <td>110.000</td>\n",
       "      <td>212.000</td>\n",
       "      <td>191.000</td>\n",
       "      <td>129.000</td>\n",
       "      <td>64.000</td>\n",
       "      <td>25.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>3.000</td>\n",
       "      <td>27.000</td>\n",
       "      <td>55.000</td>\n",
       "      <td>118.000</td>\n",
       "      <td>219.000</td>\n",
       "      <td>244.000</td>\n",
       "      <td>167.000</td>\n",
       "      <td>80.000</td>\n",
       "      <td>34.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>10.000</td>\n",
       "      <td>54.000</td>\n",
       "      <td>144.000</td>\n",
       "      <td>258.000</td>\n",
       "      <td>278.000</td>\n",
       "      <td>210.000</td>\n",
       "      <td>109.000</td>\n",
       "      <td>63.000</td>\n",
       "      <td>30.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>29.000</td>\n",
       "      <td>133.000</td>\n",
       "      <td>319.000</td>\n",
       "      <td>379.000</td>\n",
       "      <td>278.000</td>\n",
       "      <td>172.000</td>\n",
       "      <td>81.000</td>\n",
       "      <td>44.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>16.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>9.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>92.000</td>\n",
       "      <td>314.000</td>\n",
       "      <td>462.000</td>\n",
       "      <td>412.000</td>\n",
       "      <td>239.000</td>\n",
       "      <td>121.000</td>\n",
       "      <td>44.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>13.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>40.000</td>\n",
       "      <td>43.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>218.000</td>\n",
       "      <td>606.000</td>\n",
       "      <td>558.000</td>\n",
       "      <td>343.000</td>\n",
       "      <td>162.000</td>\n",
       "      <td>84.000</td>\n",
       "      <td>46.000</td>\n",
       "      <td>27.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>20.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>29.000</td>\n",
       "      <td>43.000</td>\n",
       "      <td>120.000</td>\n",
       "      <td>164.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>370.000</td>\n",
       "      <td>753.000</td>\n",
       "      <td>433.000</td>\n",
       "      <td>220.000</td>\n",
       "      <td>112.000</td>\n",
       "      <td>69.000</td>\n",
       "      <td>35.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>14.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>26.000</td>\n",
       "      <td>61.000</td>\n",
       "      <td>136.000</td>\n",
       "      <td>369.000</td>\n",
       "      <td>438.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>453.000</td>\n",
       "      <td>582.000</td>\n",
       "      <td>269.000</td>\n",
       "      <td>145.000</td>\n",
       "      <td>77.000</td>\n",
       "      <td>36.000</td>\n",
       "      <td>18.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>20.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>24.000</td>\n",
       "      <td>34.000</td>\n",
       "      <td>54.000</td>\n",
       "      <td>117.000</td>\n",
       "      <td>411.000</td>\n",
       "      <td>1066.000</td>\n",
       "      <td>918.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>281.000</td>\n",
       "      <td>372.000</td>\n",
       "      <td>218.000</td>\n",
       "      <td>88.000</td>\n",
       "      <td>57.000</td>\n",
       "      <td>52.000</td>\n",
       "      <td>28.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>16.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>56.000</td>\n",
       "      <td>112.000</td>\n",
       "      <td>277.000</td>\n",
       "      <td>736.000</td>\n",
       "      <td>1500.000</td>\n",
       "      <td>923.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>167.000</td>\n",
       "      <td>205.000</td>\n",
       "      <td>109.000</td>\n",
       "      <td>84.000</td>\n",
       "      <td>41.000</td>\n",
       "      <td>25.000</td>\n",
       "      <td>17.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>5.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>16.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>19.000</td>\n",
       "      <td>33.000</td>\n",
       "      <td>69.000</td>\n",
       "      <td>207.000</td>\n",
       "      <td>504.000</td>\n",
       "      <td>1131.000</td>\n",
       "      <td>1438.000</td>\n",
       "      <td>545.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>82.000</td>\n",
       "      <td>100.000</td>\n",
       "      <td>67.000</td>\n",
       "      <td>43.000</td>\n",
       "      <td>19.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>9.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>25.000</td>\n",
       "      <td>39.000</td>\n",
       "      <td>103.000</td>\n",
       "      <td>333.000</td>\n",
       "      <td>758.000</td>\n",
       "      <td>1035.000</td>\n",
       "      <td>738.000</td>\n",
       "      <td>236.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>48.000</td>\n",
       "      <td>62.000</td>\n",
       "      <td>45.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>10.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>43.000</td>\n",
       "      <td>78.000</td>\n",
       "      <td>235.000</td>\n",
       "      <td>525.000</td>\n",
       "      <td>756.000</td>\n",
       "      <td>602.000</td>\n",
       "      <td>328.000</td>\n",
       "      <td>90.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>22.000</td>\n",
       "      <td>30.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>1.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>4.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>17.000</td>\n",
       "      <td>27.000</td>\n",
       "      <td>63.000</td>\n",
       "      <td>161.000</td>\n",
       "      <td>350.000</td>\n",
       "      <td>529.000</td>\n",
       "      <td>404.000</td>\n",
       "      <td>262.000</td>\n",
       "      <td>119.000</td>\n",
       "      <td>40.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>11.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>2.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>4.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>38.000</td>\n",
       "      <td>93.000</td>\n",
       "      <td>213.000</td>\n",
       "      <td>321.000</td>\n",
       "      <td>310.000</td>\n",
       "      <td>166.000</td>\n",
       "      <td>124.000</td>\n",
       "      <td>77.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>3.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>33.000</td>\n",
       "      <td>70.000</td>\n",
       "      <td>134.000</td>\n",
       "      <td>208.000</td>\n",
       "      <td>164.000</td>\n",
       "      <td>123.000</td>\n",
       "      <td>59.000</td>\n",
       "      <td>56.000</td>\n",
       "      <td>41.000</td>\n",
       "      <td>7.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>4.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>35.000</td>\n",
       "      <td>66.000</td>\n",
       "      <td>90.000</td>\n",
       "      <td>92.000</td>\n",
       "      <td>74.000</td>\n",
       "      <td>51.000</td>\n",
       "      <td>32.000</td>\n",
       "      <td>23.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>43.000</td>\n",
       "      <td>61.000</td>\n",
       "      <td>42.000</td>\n",
       "      <td>38.000</td>\n",
       "      <td>26.000</td>\n",
       "      <td>17.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>9.000</td>\n",
       "      <td>4.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>nan</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>21.000</td>\n",
       "      <td>15.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>3.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>nan</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       1      2      3      4      5       6       7        8        9   \\\n",
       "1     nan  2.000  3.000  4.000 19.000  44.000 130.000  213.000  266.000   \n",
       "2   1.000    nan  2.000 12.000 13.000  43.000 110.000  212.000  191.000   \n",
       "3   3.000  1.000    nan  3.000 27.000  55.000 118.000  219.000  244.000   \n",
       "4   4.000  2.000  5.000    nan 10.000  54.000 144.000  258.000  278.000   \n",
       "5   5.000  6.000  4.000  3.000    nan  29.000 133.000  319.000  379.000   \n",
       "6   9.000  8.000 10.000 13.000 14.000     nan  92.000  314.000  462.000   \n",
       "7  13.000  6.000 12.000 10.000 40.000  43.000     nan  218.000  606.000   \n",
       "8  20.000 13.000 15.000 29.000 43.000 120.000 164.000      nan  370.000   \n",
       "9  14.000 13.000 31.000 26.000 61.000 136.000 369.000  438.000      nan   \n",
       "10 20.000 10.000 24.000 34.000 54.000 117.000 411.000 1066.000  918.000   \n",
       "11 16.000 14.000  9.000 31.000 56.000 112.000 277.000  736.000 1500.000   \n",
       "12 16.000 13.000 12.000 19.000 33.000  69.000 207.000  504.000 1131.000   \n",
       "13  9.000 11.000  8.000 20.000 25.000  39.000 103.000  333.000  758.000   \n",
       "14 10.000  6.000  5.000 10.000 20.000  43.000  78.000  235.000  525.000   \n",
       "15  4.000  4.000  2.000 10.000 17.000  27.000  63.000  161.000  350.000   \n",
       "16  4.000  3.000  8.000  1.000 13.000  21.000  38.000   93.000  213.000   \n",
       "17  2.000  2.000  9.000  7.000  7.000  15.000  33.000   70.000  134.000   \n",
       "18  4.000  2.000  0.000  4.000  9.000  11.000  21.000   35.000   66.000   \n",
       "19  0.000  0.000  2.000  1.000  2.000   5.000   4.000   22.000   43.000   \n",
       "20  0.000  0.000  0.000  0.000  2.000   0.000   3.000   11.000    8.000   \n",
       "\n",
       "         10      11      12      13      14     15     16     17     18  \\\n",
       "1   226.000 132.000  49.000  33.000  15.000  8.000  5.000  3.000  3.000   \n",
       "2   129.000  64.000  25.000  12.000   8.000  5.000  2.000  2.000  3.000   \n",
       "3   167.000  80.000  34.000  18.000  15.000  5.000  5.000  4.000  2.000   \n",
       "4   210.000 109.000  63.000  30.000  16.000  7.000  5.000  4.000  0.000   \n",
       "5   278.000 172.000  81.000  44.000  16.000 16.000 11.000  7.000  5.000   \n",
       "6   412.000 239.000 121.000  44.000  31.000 12.000 12.000  3.000  5.000   \n",
       "7   558.000 343.000 162.000  84.000  46.000 27.000 10.000 11.000 10.000   \n",
       "8   753.000 433.000 220.000 112.000  69.000 35.000 10.000  5.000  4.000   \n",
       "9   453.000 582.000 269.000 145.000  77.000 36.000 18.000 14.000 12.000   \n",
       "10      nan 281.000 372.000 218.000  88.000 57.000 52.000 28.000  7.000   \n",
       "11  923.000     nan 167.000 205.000 109.000 84.000 41.000 25.000 17.000   \n",
       "12 1438.000 545.000     nan  82.000 100.000 67.000 43.000 19.000 14.000   \n",
       "13 1035.000 738.000 236.000     nan  48.000 62.000 45.000 21.000 10.000   \n",
       "14  756.000 602.000 328.000  90.000     nan 22.000 30.000 21.000 12.000   \n",
       "15  529.000 404.000 262.000 119.000  40.000    nan 11.000 13.000 11.000   \n",
       "16  321.000 310.000 166.000 124.000  77.000 20.000    nan  3.000  3.000   \n",
       "17  208.000 164.000 123.000  59.000  56.000 41.000  7.000    nan  0.000   \n",
       "18   90.000  92.000  74.000  51.000  32.000 23.000 15.000  6.000    nan   \n",
       "19   61.000  42.000  38.000  26.000  17.000 11.000  9.000  4.000  1.000   \n",
       "20   22.000  21.000  15.000   5.000   6.000  3.000  3.000  1.000  2.000   \n",
       "\n",
       "       19    20  \n",
       "1   3.000 2.000  \n",
       "2   1.000 1.000  \n",
       "3   0.000 1.000  \n",
       "4   2.000 2.000  \n",
       "5   1.000 0.000  \n",
       "6   6.000 1.000  \n",
       "7   4.000 0.000  \n",
       "8   3.000 1.000  \n",
       "9   7.000 2.000  \n",
       "10  5.000 2.000  \n",
       "11  4.000 5.000  \n",
       "12  7.000 2.000  \n",
       "13 14.000 1.000  \n",
       "14  5.000 1.000  \n",
       "15  4.000 2.000  \n",
       "16  3.000 0.000  \n",
       "17  1.000 0.000  \n",
       "18  0.000 0.000  \n",
       "19    nan 0.000  \n",
       "20  0.000   nan  "
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(populations, columns=np.arange(1, N+1), index = np.arange(1, N+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bounded Confidence and Social Judgment Theory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def BC_SJT(N, t_1, N_excl):\n",
    "    \n",
    "    #N = 20\n",
    "    #N_excl = 4  #Exclude extreme groups\n",
    "\n",
    "    threshold_values = np.array(range(N + 1)) / N\n",
    "    Minimal_Interval = 1 / N\n",
    "\n",
    "    #t_1 = 1\n",
    "    t_2 = t_1 + 1\n",
    "\n",
    "    x_1 = '$\\hat{x}_{i}(t_{' + str(t_1) + '})$'\n",
    "    x_2 = '$\\hat{x}_{i}(t_{' + str(t_2) + '})$'\n",
    "\n",
    "    fr_1 = '$\\hat{x}_{-i}(t_{' + str(t_1) + '})$'\n",
    "\n",
    "    results = np.zeros((len(threshold_values) - 1, \n",
    "                        len(threshold_values) - 1))\n",
    "\n",
    "    populations = np.zeros((len(threshold_values) - 1, \n",
    "                            len(threshold_values) - 1))\n",
    "\n",
    "    op_change = data[x_2] - data[x_1]\n",
    "    condition_change = abs(op_change) > Minimal_Interval\n",
    "    #cond_fr = abs(data[x_1] - data[fr_1]) > Minimal_Interval\n",
    "\n",
    "    for j in tqdm(range(len(threshold_values) - 1)):\n",
    "\n",
    "        thresholds_j = (threshold_values[j], threshold_values[j+1])\n",
    "\n",
    "        if j:\n",
    "            cond_position = (data[x_1] > thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "        else:\n",
    "            cond_position = (data[x_1] >= thresholds_j[0]) & (data[x_1] <= thresholds_j[1])\n",
    "\n",
    "        data_sample = data[cond_position & condition_change]\n",
    "\n",
    "        for m in range(0, len(threshold_values) - 1):  \n",
    "\n",
    "            if 1==1:\n",
    "\n",
    "                thresholds_m = (threshold_values[m], threshold_values[m+1])\n",
    "\n",
    "                if m:\n",
    "                    cond_fr_position = (data[fr_1] > thresholds_m[0]) & (data[fr_1] <= thresholds_m[1])\n",
    "                else:\n",
    "                    cond_fr_position = (data[fr_1] >= thresholds_m[0]) & (data[fr_1] <= thresholds_m[1])\n",
    "\n",
    "                data_sample_sample = data_sample[cond_fr_position]\n",
    "                populations[j, m] = data_sample_sample.shape[0]\n",
    "\n",
    "                cond_left = data_sample_sample[x_2] < data_sample_sample[x_1]  #Go Left\n",
    "\n",
    "                if data_sample_sample.shape[0] > 0:\n",
    "                    results[j, m] = data_sample_sample[cond_left].shape[0] / data_sample_sample.shape[0]\n",
    "                else:\n",
    "                    results[j, m] = None\n",
    "\n",
    "            #else:\n",
    "            #    populations[j, m] = None\n",
    "            #    results[j, m] = None\n",
    "\n",
    "    j_excl = N_excl # j \\in {j_excl+1,..., 20-j_excl}\n",
    "    m_excl = N_excl # m \\in {m_excl+1,..., 20-m_excl}\n",
    "\n",
    "\n",
    "    for j in range(j_excl, N-j_excl):\n",
    "        fig_size = 7\n",
    "        labelsize = 15\n",
    "        plt.figure(figsize=(fig_size, fig_size))\n",
    "        plt.title('k = ' + str(t_1) + ', j = ' + str(j+1), fontdict={'fontsize' : 20})\n",
    "        plt.rcParams['xtick.labelsize'] = labelsize\n",
    "        plt.rcParams['ytick.labelsize'] = labelsize\n",
    "        x = (threshold_values[1:] - threshold_values[:-1]) / 2 + threshold_values[:-1]\n",
    "        plt.grid(True)\n",
    "\n",
    "        #plt.plot(x[m_excl: j], results[j, m_excl: j], color='red', marker='^', \n",
    "        #         label = 'm<j')\n",
    "\n",
    "        #plt.plot(x[j+1: N-m_excl], results[j, j+1: N-m_excl], color='blue', marker='v', \n",
    "        #         label = 'm>j')\n",
    "\n",
    "        plt.plot(x[m_excl: j+1], results[j, m_excl: j+1], color='red', marker='v', \n",
    "                 label = '$m \\leq j$')\n",
    "\n",
    "        plt.plot(x[j: N-m_excl], results[j, j: N-m_excl], color='blue', marker='v', \n",
    "                 label = '$m \\geq j$')\n",
    "\n",
    "        plt.axvline(x[j], c='black', lw=1)\n",
    "        pylab.text(x[j], 0.8, '$\\hat{x}_{i}(t_{' + str(t_1) + '})$', fontsize = labelsize)\n",
    "\n",
    "        plt.xticks(np.arange(0, 1.1, 0.1))\n",
    "        plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "        plt.xlabel('$\\hat{x}_{-i}(t_{' + str(t_1) + '})$', fontsize = labelsize)\n",
    "        plt.ylabel('Estimated Probability of Choosing the Left Direction', fontsize = labelsize)\n",
    "        plt.legend(loc='lower right', fontsize = labelsize)\n",
    "        plt.savefig('image_' + str(t_1) + '_' + str(j+1)  + '.pdf')\n",
    "        plt.show()\n",
    "    \n",
    "    return populations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## t1->t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bfeb5b2db9ae4d0b9166bee6ad97a13f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=20), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:49: UserWarning:\n",
      "\n",
      "Boolean Series key will be reindexed to match DataFrame index.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nsssuA+DLL7/kkEMOYY899uDMM8+scfzkyZNp164du+666/pt7s4jjzxC69atufDCC3n++ed5/vnnGTBgQJ33HzBgAJ9++imvvfZa9n4oEamXWIk0WkqtJMW+EjPbO7thiRS+0aNH89xzz/HUU09x9NFH06JFC8aPH0/z5s1rHDt79mx22mknmjXb8CdnZmy99dasXLmSQw45hH79+tGvXz9at667vkmvXr1o3rw5M2fOzOrPJCKZq2seabVKQj3d2v5qd4z21/y/h8gmbK+99mK//fbjpz/9KVtssQUzZsygpKTWf2/yySefsNVWNWubvPrqq5gZu+yyS0b33myzzdhiiy345JNP6hW7iGRP3Ee7lmZfCbA87g3NbGczm2xmy83sIzO7JFqSra7z+prZU2a2OHo9Y2Z7xr2vSC585zvfYfny5YwePZptt912o33z5s3jlFNOAWDlypW0atWqxvmvvvoqPXr0oF27dhttP/300+natStmqf/0WrVqxcqVK7PwU4hIQ6Rbj3RvYHDCplPM7KCkw1oDBwOxOmrMrCPwDDAXOAzYAbiGkNAvSnNet+i8l4CfR5vPB542s100j1Xy4bbbbmPs2LHsuuuujBkzZn3SrNazZ0/uuOMOALbccstaW4+vvvrqRv2m1Y499lgqKirYeuutU95/6dKlbLnllg38KUSkodI92t0T+FXC96OAb5KOWQ3MIyS1OE4D2gCHu/tXhETYHqgws6uibbU5GNgc+Km7fwlgZs8BnwM/AjQPQBrV008/zZlnnsmYMWMoKyujf//+PPnkkwwZMmT9MaeddhqDBw9m6NCh7Ljjjjz//PM1rjNv3jwOPfTQGtv33jv9sIPPPvuM5cuXU1ZW1vAfRkQaJF1lo6vdvdTdS4H3gcHV3xNeXd19X3d/Keb9hgCTkhLmeEJyHZTmvBaEJL4sYVtVtC3dY2eRrJszZw5HHXUUI0aM4IQTTqBfv37st99+VFRUbHTcyy+/TO/evQH44Q9/yIIFC/jss882OqZ9+/ZMnz6d6dOn88ILL+Aer2z1rFmzMLNYI3xFJLdSJlIzW2tmu0dfpwKpWouZ6Elowa7n7gsIfazpVpF5MDrmGjPrbGadgeuAJcADWYhLJLZDDjmEAw44gEsvvXT9tpEjRzJz5kwef/xxANatW8f//ve/9S3GwYMHs+WWWzJx4sSNrnXFFVewePFi9t13X37yk5+k7RNNNHHiRAYNGkSnTp2y9FOJSH2lG2y0GqgeHXECUJqF+3UEltayfUm0r1bu/hFQDhwBfBq9DgcOdPfPUp0nkgvvvvsuEyZM2Cjp7b333rg7Bx98MBDq5/bo0WP9dJeWLVty/PHHM378+I2uNXDgQObMmcOaNWtij8Bdu3YtDz74oOrtihSIdH2kcwl9lw8THp8eaWZ9Uxzr7p6zfkoz60Joec4Gqkd0nAk8bmYDolZt8jnDgeEApaWlTJ06NVfhNUhVVZViq4d8xlbXfauqqrjvvvvo3LnzRscOHDiQW2+9lXvuuYdu3brV+37VlY+6dOmS8e9A/03rp5Bjg8KOr5Bjyxp3r/UFDCCMxl0DrAXWpXmtTXWdpGsuAkbVsn0ZcH6a864F3gNaJGxrSei7vaGu+5aVlXmhqqyszHcIKSm2msKfTHqVlZU+YsQIv/nmm2vsu//++33q1Kl1XmPYsGHetWtXB7xr164+bNiw9fvuu+8+nzZtWmaBJ8RWqBRb/RVyfIUcGzDLY+Suul4pW6Tu/hywC4CZrQP6uXtDy6jMI6kvNJra0pakvtMkPYE57r4mIb7VZjaHMIVGpKBcccUVtW4fOnRorPOrp83U5thjj61XTCKSG3ELMpQTHvU21JPAgWa2ecK2Y4AVwLQ0570PfM/M1q8zZWatgO8RWqoiIiJ5ESuRuvs0d68ysyFmNtLMbjOz7WB9Hd5tYt7vFmAV8JCZ7Rf1Y1YA13rClBgzm29mYxLOuwPYBvinmR1sZocADwNdgNti3ltERCTr4hat/5aZzQAeBX4BDAOqC4eeBIyMcx13XwLsS6jL+ygwmjCNZVTSoZuRULvX3WcDBxGKMtwDjCM8Dt7f3V+Jc28REZFciFu0/i+Emro9CY9SVyfse4aaiTAld58L7FPHMd1r2TYZmBz3PiIiIo0hbiI9CPiFu8+vpcD8QqBrdsMSEREpDpks7J1cZ7faVoTBQiIiIk1O3ET6b+DspNZodVHQk4EpWY1KRESkSMR9tDsCeBZ4HfgnIYn+0sx6Eeaa9stNeCIiIoUt7vSX14HdgFnAiYRKR4cT+kf3dPe3chWgiIhIIYvbIsXd32HDotoiIiJCZoONamVmR5jZ2mwEIyIiUmwanEhFRESaMiVSERGRBlAiFRERaQAlUhERkQZIOWrXzCbEvMa2WYpFRESk6KSb/lIa8xqrgOlZiEVERKTopEyk7l7emIGIiIgUI/WRioiINIASqYiISAMokYqIiDSAEqmIiEgDKJGKiIg0QEaJ1IJuZjbAzNrlKigREZFiETuRmtkZwIfA+8C/gR2j7Q+Z2Tm5CU9ERKSwxUqkZnY+cC1wO7APYAm7pwLHZD0yERGRIhB3Ye8zgYvd/Soza560702gLLthiYiIFIe4j3a3Bman2LcOaJ2dcERERIpL3EQ6HxiUYt/ewNzshCMiIlJc4ibS64Hfm9lFwHejbZ3NbBhwLnBd3Bua2c5mNtnMlpvZR2Z2SS2Pi5PPqTAzT/H6v7j3FhERybZYfaTufoeZdQQuBkZHm58AlgMV7n5fnOtE13iG0II9DNgBuIaQ0C9Kc+odwMSkbT8BRgBPxrm3iIhILsQdbIS7X21mtwADgE7AYuB5d/8yg/udBrQBDnf3r4Cnzaw9UGFmV0Xbarv3QmBh4jYzGwnMc/eXM7i/iIhIVmVUkMHdv3b3Se5+n7tPzDCJAgwBJiUlzPGE5JqqD7YGM+sE7A/cn+H9RUREsip2i9TMWhMGFm1LzVG67u43x7hMT2BK0okLzGx5tO/RmOEcAbRAiVRERPIsViI1s4HAg0BpikMciJNIOwJLa9m+JNoX11DgJXd/O4NzREREss7cve6DzF4CVhH6OOe6+5p63cxsDXC+u1+ftH0hMM7dL4hxjS6E/tIR7v6nNMcNB4YDlJaW7jZhwoT6hJxzVVVVlJSU5DuMWim2msrLy6msrEx7jH5v9aPY6q+Q4yvk2MrLy2e7e98GX8jd63wBy4AD4xxbx3UWAaNSXP/8mNf4NaEIRLe49y0rK/NCVVlZme8QUlJsNYU/mfT0e6sfxVZ/hRxfIccGzPIG5jV3jz3Y6FVCdaOGmkfoC13PzLoBbaN9cQwFnnX3D7IQj4iISIPETaSnA78xs9gja1N4EjjQzDZP2HYMsAKYVtfJZtYd6IcGGYmISIFIOdjIzD4jDCKq1g6YYmarga+Tj3f3zjHudwtwNvCQmV0J9AAqgGs9YUqMmc0Hprn7sKTzhwLfAA/EuJeIiEjOpRu1+1c2TqQN5u5LzGxf4EbCVJelhPKCFbXEVVvZwKHAZHf/PJtxiYiI1FfKROruFbm4obvPJaxpmu6Y7im2985FTCIiIvUVd2HvKWbWM8W+MjObUts+ERGRTV3cwUaDgfYp9rUnVDwSERFpcjKptVujv9TMWhIe036StYhERESKSLpRu6MIy6ZBSKIvmFmqw6/OclwiIiJFId2o3SeAzwEDbiCsG/pe0jGrCUuZ/Tsn0YmIiBS4dKN2XwReBDCzr4HH3P2LxgpMRESkGMRa/cXd7851ICIiIsUoo4W9RUREZGNKpCIiIg2gRCoiItIASqQiIiINEGuwkZltl2b3OuCrxNVbREREmopYiZQwfzTtSjBmtgC4wd2va2hQIiIixSJuIj0OuBJ4HXgE+AwoBQ4DvgdcDvQFrjIzlExFRKSpiJtI9wMecfdfJW2/1cz+Agxw9xPMrAo4jbDGqIiIyCYv7mCjo4B/pdj3CKFlCvAk8O2GBiUiIlIs4ibSlcAPU+z7YbQfQl3eZQ0NSopAnz5gVvPVp0++IxMRaVRxH+3eBow0s07Ao2zcR3oaoY8UYADwSraDlALUvz/MnQurV2/Y1rIlDBiQv5hERPIgbq3dkWa2GDgfOIswgtcI65CenzC46O/A2FwEKgVm5Ei4886NtzVvHraLiDQhsQsyRMlyW2B7Qstze2DbxBG67j7H3d/LdpBSgLp0gZNOgs0S/i22yy5QWpq/mERE8iCjykbuvs7d33f3GdH7ulwFJkVg5MgNibR5c5g5EwYPhvfey2dUIiKNKm4fKWa2DXAIoVXaOmm3u/uIbAYmRaC6VXrrrTB8eOgfPfNM2HVX+Otf4Wc/CwOQREQ2YXFLBP4UuB9oDiwCVicd4oASaVM0ciTMmQMXXwxbbw0DB8LPfx5ejz0GN98MHTvmO0oRkZyJ+2j3cuAp4Fvu3tXdt0969chhjFLIunSBadNCEgXo3h2mToXLLoMHHwyt06lT8xigiEhuxU2k3Qh1dBfnMhjZRDRvDhdcAM89B23awD77wIgRG0+VERHZRMRNpM8BO2bjhma2s5lNNrPlZvaRmV1iZs1jnnu4mb1oZivM7Aszm2hm7bIRl+TA7rvDSy/BL38JV10Fe+4Jb7yR76hERLIqbiI9FxhuZr8ws23MrG3yK85FzKwj8AyhT/Uw4BLgt8DoGOeeAtxHKEM4BDgFeJsMBkxJHrRrFwYjPfwwLFwIP/hBGIjkaRcTEhEpGnGT0KvR+52kXk4tTqvyNKANcHi0funTZtYeqDCzq1KtaWpmWxEK4f/K3W9P2PXPWNFL/h12WGiRnnQSnHUWPPEEjB0L3/pWviMTEWmQuIn0ZOpYjzSmIcCkpIQ5nrBE2yBC+cHaHB29352FGCRftt46JNC//hXOPz8UcBgzBg49NN+RiYjUW9wSgXdl6X49gSlJ115gZsujfakS6Z7Am8AwM7sQ+BbwEvAbd38uS7FJYzALLdLy8jDP9Mc/hk6d4Isvah7buzf897+NH6OISAYyqmyUBR2BpbVsXxLtS2VrwmCniwjzVQ8lrDIz0cz0bLAY9eoFM2bAeefVnkRVAF9EioR5ikEfZjYTONHd55rZi9TxaNfd96jzZmZrCEXur0/avhAY5+4XpDjvKWB/YIi7T4y2tQfeB2509xqV0s1sODAcoLS0dLcJEybUFV5eVFVVUVJSku8watVYsW01dSq9Ro8msQbS2latmHHffazecsu8xpasvLycysrKtMfov2n9KLb6K+T4Cjm28vLy2e7et6HXSfdodw6wIuFzNvpIlwAdatneMdqX7jwHplZvcPevzGw2sHNtJ7j7bYTl39hxxx198ODB9Ys4x6ZOnUqTj23wYFiwAO6+G9aF8s3NW7ViwCOPwF57hWpJZWUblRvM5++trvvqv2n9KLb6K+T4Cjm2bEmZSN39pITPJ2bpfvMIfaHrmVk3oG20L5U3CMu2JRduNUCF8zcFl10G998PK1dCixZhvdPHHgvJFcKqMgMHhtdee2HffJPfeEVEIvXuIzWzjmbW28xaZXDak8CBZrZ5wrZjCC3faWnOeyx6L0+4fwdgN7SQ+KahugB+s2ahgMPEifDZZ6GAw+23w5Ah8Mor8Nvfwh57MPDQQ2HffaGiAp55BqqqNlyrT5/Qek1+9emTtx9PRDZdcYvWjwZaufvvo+/7AP8itCQ/MbMD3H1OjEvdApwNPGRmVwI9gArg2sQpMWY2H5jm7sMA3H2Wmf0LGGNmvwc+B34HrAH+GusnlcJXXQC/enFwM+jZM7xOOSVs++gjePZZPh4/nm3few8uvTQ8Dm7ePCTKgQPD3NSWLTcuSajBSyKSI3Hnkf4M+EPC92uAZwkViS4D/gj8uK6LuPsSM9sXuJEw1WUpodBCRS1xJRd4OB64GriWkMD/A+zj7un6VqWYVBfAT2ebbeDoo5nfuTPbDh4MX34JL7wAzz4L//433HJLeDycrFmzDQlaRCSL4ibSbYD/wfo+zV2BU919ppldS6h4FIu7zwX2qeOY7rVsqwJOj14iQYcOcOCB4QWhFfrSS/Cb34TpNdWj0leuDP2ugwZteG2/vdZLFZEGi5tIv2bDaNt9gCXuPjP6vhoBWloAACAASURBVJLQQhTJv5YtoV8/eOgh6NEjJNBWreCii0Jxh8cf3zCAadttN06s3/2uEquIZCxuIp0G/N7M1gHnEfpHq5UBH2Q7MJEGqR68dOutMGxYSKQQ+lPfeCM8Qp42LQxUuvfeDefsvfeGxLrTTmBGnzbzeHnlhsHm1bm2d+t5/HdFT0SkaYubSH8D3EOoi/sycGHCvhOA6VmOS6ThkgcvQegr7dUrvM44Izz6feutkFSnTg3vf/97OLa0FAYNov8WxzH3k+6spvX6y7RkJQN2+JSk2Vwi0gTFrbX7Ian7NQ8kPN4VKSxxBi+ZwY47htfw4SGxvvPOhhbrtGmM/ORZxvLuRqc1Zx0j79sph8GLSLHIaC1PM2sJ7AJsCSwGXku19JlIUTKD73wnvIYNA6DLe+9x/IDJjPl4CAAtWcVJvV5k6+8PymekIlIgYhdkMLPfAZ8CM4FJ0funZnZ+jmITKQzdu3PpE31pRZiX+g2bccE9ao2KSBArkZrZOYS5ovcRqgvtFL3fB/zRzM7OWYQiBaBL729xcq8ZAKyjOWMf65zniESkUMRtkZ4JXOHuZ7r7dHd/M3o/k7AotxKpbPJG/i0MLDri4BWMGgWTJ+c5IBEpCHETaTcg1dpRU4FtsxKNSAHr0jssfXvX+Db07AnHHQcff5znoEQk7+Im0gXAASn27R/tF2kSSkrgH/8IdfKPPRa0EI1I0xY3kd4AnGdmd5jZQWbWx8wONLM7gHOBP+cuRJHCs/POcPPNYYZMRUW+oxGRfIo7j/RGM1sFjAJOJiyybcBHwGnufkfuQhQpTCecANOnh6VUBw6Egw7Kd0Qikg+xp7+4++2EvtLuQH/g20A3JVFpyv7yF/j+9+H44+EDFcoUaZIyWtjbgwXAf939A/fqpTVEmqY2beCBB2DVKhg6FNasyXdEItLYMinIMMDMnjSzr4GVZva1mT1hZv1zGJ9IwSsrgzvugOeegwsuyHc0ItLYYvWRmtn+wOPAm4TFtT8FvgUcCUw1s4Pd/ZmcRSlS4I45JvSX/ulPsMUWnRg8ON8RiUhjidsivQx4BPi+u1/i7rdG798HHgMuz1mEIkXi2mvhBz+AK67oyXvv5TsaEWkscRPpLsDtKfpEb4v2izRprVqF/lJ34+ijYfXqfEckIo0hbiJdCuyQYt8O0X6RJq9HDxgxYh4vvgjnazkHkSYhbiJ9gFCc/ngzaw1gZq3N7HjCY90JuQpQpNjstdfnnHMO3HBDqIAkIpu2uIl0BKEv9G5gmZl9CSyLvj8W7ReRyJVXwp57wsknw/z5+Y5GRHIpViJ19xXu/jOgF3ASYfDRiUAvdz/e3VfmLkSR4tOyJUyYAC1awFFHwUr9hYhssjItyDDP3ce5+1Xufo+7z8tVYCLFbrvtYNw4ePllOOecfEcjudKnD5jVfPXpk+/IpLHEmkdazczKCEumtU7e5+5PZCsokU3FwQfDiBHhUe/ee4el12TT0r8/zJ278Sjtli1hwID8xSSNK25Bhp2B8YRHu1bLIQ40z2JcIpuMP/whVD0aPjzMM+3ZM98RSTaNHAl33rnxtubNw3ZpGuI+2r0VaAUcDuwIbJ/06hH3hma2s5lNNrPlZvaRmV1iZmmTsJl1NzOv5TU+7n1F8mWzzeD++6FtWzjySFi+PN8RSTZ16QK/+EV4nAvQrFlYxGDrrfMblzSeuI92+wBD3f2xhtzMzDoCzwBzgcMIc1CvIST0i2Jc4jzgPwnfP29IPCKNpWtX+NvfwlJrZ55ZswUjxa15c6guV7NuHUydCnPmQK9eeQ1LGkncFuk71NIvWg+nAW2Aw939aXe/BRgNnGtm7WOc/6a7v5Dw0sQCKRoHHACdO8Ndd2lgyqbk0UfhppvCYu/NmsGPfwxffgm77x7+W8umL24i/S1wgZnFfoSbwhBgkrt/lbBtPCG5DmrgtUUK3k9+suERYDUNTCle770XHuv26QOPPRYWeL/11jBSu18/OOkkOPFEWLYs35FKLqVMpGb2opnNNLOZhOpFXYF5ZvZW9fbEV8z79QQ2mjITrW+6PNpXlzvNbK2ZfWxm15pZm5j3FSkIo0aFmryJNDClOK1aBUcfHR7lPvAAbL89TJsW+ka7dIGnn4aLLw5ToPbYI4zslU1Tuj7SOYTRuInfG6ojtdflXRLtS2UV8FfgKeArYDChmtIOhL5WkaLQpUtopdxxx4ZFwMvLNTClGJ13Hrz4Ijz0EOxQSyXy5s1h9GjYay/42c/Co96bb4YTTmj8WCW3rPYFXXJ0M7M1wPnufn3S9oXAOHePvSyymZ0O3AT0dvdXatk/HBgOUFpautuECYVZDriqqoqSkpJ8h1ErxVZTeXk5lZWVaY+pK7YvvmjJccftyerVzTFz3OH009/hqKMW1njsm236b1o/ybFVVpZyySW9OPLIDzjzzHfqPP/zz1vyhz/szCuvbMFBB33Mr3/9Nq1br8tZfIWkkGMrLy+f7e59G3whd0/5IiyPtm2a/V2BXdJdI+n4RcCoWrYvIyTYWNeJzikltJhPruvYsrIyL1SVlZX5DiElxVZT+JNJL05sp5/u3qyZ+y9/6X7kke7gPmyY+6pVWQiygbHlS7HE9uab7ptv7t6/v/vq1fGvsWaN+8iR7mbuvXq5z5mTm/gKTSHHBszyDPJOqle6PtIjgJnAFmnycEdghpnFfbw6j6S+UDPrBrQlqe80Bk96FykaI0eGgSmXXAJ//3v4PmYM7L8/fK5JXQVrxYowF7hly/DfrUWL+Odutln47z1pEixaFB71jhuXu1il8aQbtTscGOvur6c6INo3hjCtJY4ngQPNbPOEbccAK4BpMa9R7cjofXaG54nkXZcuGwamNGsW/gd7770wY0ZYNUYDUwrTWWfB66+HOcHdutXvGvvvH0b17r57GPE7bJiKdBS7dIl0dyBO/dyJwB4x73cLYeDQQ2a2X9SPWQFc6wlTYsxsvpmNSfheYWbXmNnh0XmXANcBD7n7qzHvLVLQjjsuJNdly0L91okT8x2RJLrrLhg7Fi68MBTWaIhttoFnnoGLLgrFOfbYA954IythSh6kS6RtCSNk6/JVdGyd3H0JsC+hLu+jhGIM1wGjkg7djI1r984jzDO9k5DcjwOujt5FNhl77gkzZ4apFAcfDH/5y4aKOZI///tfO844I4ywrqjIzjU32wwuvTT8g2nRIujbF+65JzvXlsaVLpEuBHaKcY2dgQ/j3tDd57r7Pu7ext27uPtId1+bdEx3dz8x4ft4d+/r7h3cvaW7f8fdL3b3VXHvK1IsttsOnn0WDj0Uzj4bzjhjw1QZaXxffw0VFb3o0AHuuy9Ma8mmAw4Ij3r79g1TYzp10rJsxSZdIn0M+K2ZtUt1gJmVAL8htC5FJEtKSsL8xN//Hm65JTxKXLw431E1Pe5h1Z4PP2zD/ffnbr7vNtvA5MnhsXFt/51V/aqwpUuklwMlwHNm9iMzW1+PxcxamtkQ4N/RMX/MbZgiTU+zZvDHP8Ldd4cWar9+8NZb+Y6qabnlFhg/Hk4++V0GD87tvTbbLCy5d++9Nfep+lVhS5lI3X0RsA+whtA6/drMPoyKJ3wNPA58A+wTHSsiOXDCCTBlCixdGvpQn3km3xE1DbNmwTnnwI9+BMceu6DR7nvccfDzn2+oydyyZaiGpepXhStt0Xp3f9ND1YfBwCXAI4THuJcCe7v77u6ufyOL5NgPfxgGIW27bXjMe/PN+Y5o07ZkCRx1FHzrW2GuZ7O4y3tkyZVXbqjJrNZo4Yu1Hqm7Twem5zgWEUmje3f4z39Ci+WMM8Jc0+uuC48EJXvcQwvwww9h+vQw+KexVddkvvVWtUaLQSP/O0tEGqJ9e/jXv+Dcc+HGG2HLLTXCM9uuvTb8jq++OvRL50t19Su1RgufEqlIkWneHK65Bm6/Haqqau7XCM/6+89/YMQIOOKIMPUonxKrX0lhUyIVKVKnnBLWwazN4YdrMelMffYZHHNMeIQ+ZkzNBdhFUlHvikgRO+KI0Gd6//0bKiCtXg377Rc+b7MNlJXBd78bXqtWdaJz57B+ZvIC4336hMIAyXr3hv/+N7c/R76tXQvHHx8WDHjhBejQId8RSTFJmUjNbC3Q391nmtlY4FJ3f7fxQhOROP70p1C8YeVKaN0aHnkkjDp9++0w7/Ttt+Gf/6xeVWYXRo4Mo1C32y4k1+pEu802MGfOxlWUmspj4ssvh6eegttuC/9wEMlEuhbpaqBl9PlEQsF5JVKRApM4wvPkk8PqIrVZsgTGj59N+/a7rU+wb78d6rt+laKq9tq1oYV75ZUh0XbpsuF9iy3SP/4s5BZuqthuugl++cvGj0eKW7pEOheoMLOHo+9HmlmqlcTd3TWzTSRPRo4Mrcl0Izw7doSddvq6RoUe99A/+Pbb4fzp00MCNQulCv/+91BvNlnr1hsn1uT3HXcMU3RWr95wTqG0cPv3L9zYpPikS6S/Am4lrM7iwHlpjnVAiVQkT6pHeNaHGXTuHF733gs9eoRE2ro1zJsXRo1WVcHHH8NHH9X+/tpr4dFoqpZtohNOCMk7X4N5li2DAw8Mo54TqfCB1FfKROruzwG7AJjZOqCfu89srMBEpPGlKgRQUrJhwFI6y5ZtnGBvuCEsVr42Wt9p9eowN3OrrcJ7v36h7OHuu+fm51m5El55JZT7q37NnQvr1m18nMrwSUPEHbVbTnjUKyKbuDiPiVNp1w6+853wAth77w0t3DZtwkCod94JI2NfeAEeeywcZwbbbbc7++67Ibn26rVhybI4/a2rVsHrr2+cNF9/Hb75Juzv3DksVXb44eF9223Do9yVK9UalYaJWyJwGoCZ7QkMBLYEFgPPuvuM3IUnIo2tIY+Ja7tWYgt3v/3C69RTw/6lS0MN4RdegCeeWMnDD7dj7Niwr6QktFT33DO0FFu23LhPs0WLMODptNNC0nz11Q0jjjt1Csny4IPD+267hcSZ/DhZZfgkG2Il0mhN0geAA4G1wBdAJ6C5mU0EjnL35TmLUkSKVroW7hZbhIWtDzgA9t77NQYNGrxRi3XGjDC9p7pVmWjNGpg6NbRI+/YNZRP79g2vb387Xh9sQ1rfItXiPtq9CugPDAUedPd1ZtYMOIIwIOlKwuAkEZGNZNLCNdvwaPj448O2FSvgpZfgd78LyXXduvAodp99wnSVHXao/8ClbLa+pemKWyLwCGCEuz/g7usA3H2duz8A/B44KlcBikjT1qZNWEbuH/8Ij3chvI8bFxKuSvlJvsVNpB2AD1Ls+wBon51wRERqV93f2qyZ+jSlsMRNpK8Ap5tt/G+/6Pvp0X4RkZzS0mJSiOL2kV4APAnMM7N/Ap8CnYGfAt2BITmJTkQkgfo0pRDFnf4yxcx+AIwk9Id2AT4GZgCHu7vmmIqISJMUexk1d59DGLUrIiIiES3sLSIi0gBKpCIiIg3Q6InUzHY2s8lmttzMPjKzS8yseQbnNzOzWWbmZnZILmMVERGpS+w+0mwws47AM4QC+IcBOwDXEBL6RTEvcwqwbU4CFBERyVBjt0hPA9oQRvo+7e63AKOBc82szqIOUSK+DLgwt2GKiIjEEyuRmtlsMzsjSmQNMQSY5O6Jy/+OJyTXQTHOvxT4DzC5gXGIiIhkRdwW6WuEwvQfmdnfzeyA5CpHMfUE5iVucPcFwPJoX0pm9n3gZOC8etxXREQkJ8zd4x0YllI7BvgFsBfwITAOuNPd58e8xhrgfHe/Pmn7QmCcu1+Q5txpwAx3/52ZdQfeBQ5198dSHD8cGA5QWlq624QJE+KE2OiqqqooKSnJdxi1Umw1lZeXU1lZmfYY/d7qR7HVXyHHV8ixlZeXz3b3vg2+kLtn/CIMEroEeI+wPul04ESgdR3nrQHOqWX7QuDyNOcNBT4B2kffuwMOHBIn3rKyMi9UlZWV+Q4hJcVWU/iTSU+/t/pRbPVXyPEVcmzALK9HDkx+1Xew0dookVV/NuAm4D0z2z/NeUsIK8kk6xjtq8HMWgBXEx4tNzOzLdiw2kw7M9s88/BFRESyI3YiNbO2ZvYLM6sE5hMe894EdHP3vQhTUqYQFvpOZR5JfaFm1g1oS1LfaYJ20bWvJSTbJWxYbWY88N+4P4OIiEi2xZpHamZjgSMJifcfwMXu/u/EY9x9sZn9mfT1eJ8Ezjezzd3962jbMcAKINWaDlVAedK2rYH7CavSTInzM4iIiORC3IIMvQijZe9PSIC1mUPNpJfoFuBs4CEzuxLoAVQA13rClBgzmw9Mc/dh7v4NMDXxItFgI4DX3H1GzJ9BREQk6+Im0qOAj919TfIOM9sM2MbdF7h7Falblrj7EjPbF7gReBRYClxHSKbJccUuGygiIpIvcRPpu0B/YGYt+3aNtsdKfB7WLt2njmO617H/PcIAJxERkbyKO9goXdJqDazKQiwiIiJFJ2WLNKok1Dth04/MLLn6UGvgaOCtHMQmIiJS8NI92v0pMCr67MDFKY57Fzg1m0GJiIgUi3SPdi8HNicUPzBCv+bmSa9W7r6Duz+T60BFREQKUcoWaTRCt3qUbqMvAC4iIlIM0vWR7gy84+6ros9pRaNxRUREmpR0faSvA/0IU1teZ0Nt3WQW7dO8TxERaXLSJdJyYG7CZxEREUmSro90Wm2fRUREZAMNIhIREWmAdIONPiN1v2gN7t45KxGJiIgUkXR9pH8lg0QqIiLSFKXrI61oxDhERESKkvpIRUREGiBdH+kE4P/c/Z3oc1rufnRWIxMRESkC6fpIS4EW0efOqL9URESkhnR9pOUJnwc3SjQiIiJFRn2kIiIiDRA7kZrZLmZ2n5nNN7Nl0ft90QLgIiIiTVK6PtL1zOwnwATgHeAfwCJCv+lhwCwzO9rdH85ZlCIiIgUqViIFrgT+BRzt7usHHZnZ/wEPRPuVSEVEpMmJ+2i3G3BHYhIFiL7fHu0XERFpcuIm0llArxT7vge8lJ1wREREiku6ggxtE76eC4w3sxaER7jVfaQ/BU4BhuYySBERkUKVro+0io2LMBjwR+DypG0AM4Dm2Q1NRESk8KVLpCeTg2pGZrYz8BegP7AUuAMY7e5r05zTC7gG+D7QCfgUeAoY6e4fZztGERGRuNJVNror2zczs47AM8BcwtSZHQgJshlwUZpTOwDvAuOAj4DtgVHAbma2u7t/k+1YRURE4og7/SVbTgPaAIe7+1fA02bWHqgws6uibTW4+3PAcwmbpprZQkKr9PtosJOIiORJJpWNjjGzZ8xsgZktSn7FvMwQYFJSwhxPSK6DMogb4IvovWWG54mIiGRNrERqZscBdwPzgW2BR4DHovO/Am6Meb+ewLzEDe6+AFge7asrjmZm1tLMdgSuAF4EZsa8t4iISNZZUo2F2g8y+y+hNOAVwBqgr7u/ZGabA08D/3D3P8W4zhrgfHe/Pmn7QmCcu19Qx/kTgQOjr7OBH7l7ra1hMxsODAcoLS3dbcKEOpdUzYuqqipKSkryHUatFFtN5eXlVFZWpj1Gv7f6UWz1V8jxFXJs5eXls929b4Mv5O51vghTYQZHn9dUf46+/xR4L+Z11gDn1LJ9IXB5jPO/C+wJHE9o2c4GWtd1XllZmReqysrKfIeQkmKrKfzJpKffW/0otvor5PgKOTZglsfIXXW94vaRfgW0ij5/COyUsM8IU1LiWEIYgZusY7QvLXd/291nuPvfCC3TPsBxMe8tIiKSdXFH7b5IGB07idA/erGZfQOsBi4GXoh5nXkk9YWaWTegLUl9p3Vx9/fNbDHQI5PzREREsiluIv0j8O3o88XR55sJg41eBE6NeZ0ngfPNbHN3/zradgywApgW8xoARAOOOhHml4qIiORFrETq7i8QtTrdfSlwmJm1Alp5irmfKdwCnA08ZGZXElqTFcC1idcxs/nANHcfFn3/E/ANoRThUsKj5d8R1kcdn8H9RUREsirjggxmZsBWwOfuviqTc919iZntS5gu8yghKV5HSKbJcSXW7p0F/IowCrc1sAB4EPijuy/L9GcQERHJltiJ1Mx+RCjjt1t03jdmNhu4zN0fj3sdd58L7FPHMd2Tvo9HLU8RESlAcQsynEpoQVYBvwaOit6rgEei/SIiIk1O3BbpBcCt7n5G0vZbzOwW4ELg1qxGJiIiUgTiziPtBPwzxb4HgS2zE46IiEhxiZtIK0ldVH4QMD074YiIiBSXlI92owW4q90A3GFmnYCHgUVAZ0J5wCHAKbkMUkREpFCl6yN9HUisaG+EwgunRtstYd9ENp6uIiIi0iSkS6TljRaFiIhIkUqZSN09o5J9IiIiTVFGlY3MbE9gIGGU7mLgWXefkYvAREREikGsRGpm7YAHgIMINW+/IEyJaR4ttn2Uuy/PWZQiIiIFKu70l6uA/oSVWlq7exdCzduh0fYrcxOeiIhIYYubSI8ARrj7A+6+DsDd17n7A8DvCSUDRUREmpy4ibQD8EGKfR8A7bMTjoiISHGJm0hfAU6PllBbL/p+erRfRESkycmkaP2TwDwz+yfwKRsqG3UnVDcSERFpcmIlUnefYmY/AEYS+kO7AB8DM4DDozVGRUREmpw6E6mZNSMkzvfdfWjuQxIRESkecfpImwHvEQoxiIiISII6E6m7fwO8D7TNfTgiIiLFJe6o3SuBC81sq1wGIyIiUmzijto9gKif1MxmE0btJi6x5u5+TLaDExERKXRxE+lWwJtJ30VERJq8uNNftDapiIhILeJMf9mNUHThY+Ald1+Z66BERESKRcpEamadgX8BewDVpQHfN7Oj3H1WYwQnIiJS6NKN2r0C6AGcAOwMHAxUAXc05IZmtrOZTTaz5Wb2kZldYmbN6zhndzO708zmR+e9aWajzKx1Q2IRERFpqHSPdvcBLnD3e6Pv88zsY2C2mW3l7p9nejMz6wg8A8wFDgN2AK4hJPSL0px6THTslcDbwPeBS6P3IzKNQ0REJFvSJdJuwJykbXMIj3m7AhknUuA0oA2hPu9XwNNm1h6oMLOrom21uSIpcU81s5XArWb2bXd/vx6xiIiINFi6R7sGrE3ati7GeekMASYlJczxhOQ6KNVJKVq//43et6lnLCIiIg1W16jdu8xsWS3b7zGz5Ykb3H2PGPfrCUxJOm9BdK2ewKMxrlGtPyGxv5PBOSIiIlll7l77DrM7M7mQu59U583M1gDnu/v1SdsXAuPc/YI49zKzrYFXgSfc/cQUxwwHhgOUlpbuNmHChDiXbnRVVVWUlJTkO4xaKbaaysvLqaysTHuMfm/1o9jqr5DjK+TYysvLZ7t73wZfyN0b7QWsAc6pZftC4PKY12gJTAf+B3SMc05ZWZkXqsrKynyHkJJiqyn8yaSn31v9KLb6K+T4Cjk2YJZnIbfFLRGYLUuADrVs7xjtS8vMDBgH9AJ+6O51niMiIpJLjZ1I5xH6Qtczs26EJdrmxTj/esK0mf3dPc7xIiIiOVXf0bf19SRwoJltnrDtGGAFMC3diWb2f8BZwPHu/mzuQhQREYmvsRPpLcAq4CEz2y8aEFQBXOsJU2KiCkZjEr4fB1xOeKz7oZn1S3iVNu6PICIiskGjPtp19yVmti9wI2Gqy1LgOkIyTY4rsWzgAdH7idEr0UnAXdmNVEREJJ7G7iPF3ecSyg+mO6Z70vcTqZlARURE8i7d6i9TUu2rjbunTY4iIiKbonR9pF8kvcqAvQgjbKui94HAd6lf3V0REZGil7JF6u5HVX82s2HAjsAAd1+QsH074DHg6VwGKSIiUqjijtq9ELg4MYlCqJNLGCgUq7SfiIjIpibuYKOtgVYp9rUEOmcnHBGRTddXX33FokWLWLNmTVav26FDB954442sXjNb8hFbixYt6Ny5M+3bt2+U+8VNpFOBK83sHXefVb3RzHYnLLadtpiCiEhT99VXX/Hpp5/StWtX2rRpQ6h4mh1ff/01m2++ed0H5kFjx+burFixgg8//BCgUZJp3Ee7w4HFwAwz+8jMXjazj4AXou3DcxWgiMimYNGiRXTt2pW2bdtmNYnKxsyMtm3b0rVrVxYtWtQo94zVInX3hcAPzOxHwO6ER72fAC+6+xM5jE9EZJOwZs0a2rRpk+8wmow2bdpk/RF6KhkVZIiSphKniEg9qCXaeBrzdx271q6ZtTKz081sjJlNMrPvRtuPMbOdcheiiIhI4YrVIjWzMsJc0Q7AbGAwUN17vBdwMHBCDuITEREpaHFbpDcAC4DuwIFAYpt5GqHCkYiISJMTN5HuBfzR3ZcCnrTvU6BLVqMSERFJ46GHHqJVq1YsW7Ys36HETqQrgVTDzboSlkMTERFpFHvuuSczZsygXbt2+Q4ldiJ9GrjAzDokbHMzawX8Co3kFRGRRtS1a1d69+6d7zCA+In0fKAUmA/cQ3i8ezHwGrANoRaviIjkWp8+YLbRa/P27cP2RrBu3TpKSkq4/vrrOffcc+ncuTMdO3bk6quvBuCee+5h5513pqSkhMMPP5wVK1ZkfP0XX3yR0aNHpz2utLSU66+/vt4/RzbFSqTu/gGwK3DL/7d3//FRVWcexz8PAmETDERLgFIsAlqWuPyoFMSyqFSKEW2r7aq1rW00UNlFVtkWKbtWpO0WxFq6tVpYpVaFZktrKVqjLSqU4qrFyiQbAUmBdglYF6QKSYgkefaPc4OTyUxyM3Nn7iQ879drXpM5c++Zb2aSPLk/zrm4E47+iDsuug44X1XfSFdAY4wxUSZPht69WzVp795w4YUZefk9e/ZQW1vLihUryMnJYe3atcycOZMFCxYwd+5cysrKWL58OUuXLmX9+vU89thjHfZ5+PBh1q5dyxe+8AUGDRrEpEmT2LBhQ8LlDxw4wKFDh7Jmi9T3hAyqegS4w7sZY4xJ1a23wvbtnVunoQEaG1u3NTbCq6/CxRf772fcOEhii66yshKA8MrOogAAGKtJREFU+fPnM2/ePADOOecc1qxZw44dO9i4cePJyRBWrVrF7t272/Shqmzbto3y8nLKy8t5+eWXOf3005k+fTrLli2juLiYQYMGJcwQiUQAGDt2bKfzp4PfcaR7gKtUNRLnufOADao6POhwxhhjYuTkwMCB8MYboAoiaGEhErOVmi4VFRX079+fOXPmnGxrOXN24cKFrWYUqq2tpaCgoE0fq1evprS0FIBPfOITPPfcc3z0ox+lZ09/23aRSIShQ4fG7TsMfrdIh5H4Mmq5wAcCSWOMMaeSZI/xHTwIw4fD8ePQpw91W7bQd+TIYLMlUFlZyZQpU+jVq9fJtoqKCnr27MnUqVNPttXV1bFv3z5Gjx7dpo+LL76Y2267jfLycjZs2EAkEqG4uJji4mKmTZtG3759281QUVGRNVuj0M4xUhHJF5GzROQsr2lQy+Oo27nAdUBNRtIaY4yBwYOhpAR69ICSEnTgwIy9dGVlZZtjk5FIhFGjRpGTk9NquebmZoqKitr0MWLECO6991527NjB3r17uf3229m/fz/XX389Z555Jpdeein33HNPwgyRSKRrFFLgNmAfsBd3lu4vvK+jbzuAW3EzHxljjMmUO+6AKVPcfYbU19dTXV3dpojF20KsqKggLy+P4cPbP+o3bNgw5syZwxNPPMHhw4d58sknGTNmDA899FDc5RsaGti1a1dWFdL2du2uBbbhpgPcAHwF2BWzzLvALlX9c3riGWOMiWvwYNi82X199GhGXrKqqorm5ua4RbPlxKPotqKiInr0aLu99vbbb3Pw4MG4rzF06FBmz57N7NnxL3NdVVVFU1NT1yikqrob2A0gIpcAf1DVzHxaxhhjsk5lZSV5eXmMGDHiZNuRI0fYv38/Y8aMabVsRUVFm7YW69atY9asWR2+nmrsjLRut25ubi4jM3RM2A+/F/be3PK1iPQA+sRZpi7AXMYYY7JMSUkJJSUlrdoKCgriFrzN3tby0Thby6WlpSfP2u2srVu3MnHixLhbumHxlUSc20WkGjgBHI1z80VERovIsyJSJyIHRGSJiJzWwTq9RWS5iGwRkXoRafupGWOM6bZqamooKyujrKyMK664Iuw4rfgt6fOAhcBDuGOm3wKWAK/jTkiKvzM7hogUABtxJy990uvjX4D254JyQ2xKgTrgBZ+ZjTHGdBNLlixh7ty53HDDDdxyyy1hx2nFbyGdBdwJ3O09Xq+qdwFFwE7gHJ/93Iy7iszVqvobVf0hrojOF5H8RCt5l287Q1Vn4M4eNsYYcwpZuXIlhw4d4v7776d3hiaf8MtvIT0b2K6qTbhdu/0BVLUZuB/4os9+ioFnVPWdqLYyXHG9qL0VNd5OeGOMMSZkfgvpYaBlqok/A9GXGSgg8bVKY43CbcGe5A2dqfOeM8YYY7oUv1MEbgU+grvu6FpgsYicgRtH+k/Asz77KSD+RcCPeM8FRkRm4x27HTBgAJs2bQqy+8AcO3bMsiUhzGwdva69b8np7tn69esX9wzWIDQ1NaWt71SFme348eOZ+ZlS1Q5vwIeAad7XOcD3cNMCvgX8F1Dos58TwK1x2vcD/+6zj7l4e3r93s4991zNVs8//3zYERKybG15P3vtsvctOd0922uvvZZ6kATeeeedtPWdqjCzdfSeA9u0E7Uk0c3vONJdeLMaqWoD8M/erbOOAP3itBd4zxljjDFdSqZHtO4k5lioiAzFDW/ZGXcNY4wxJov5vrC3iFwDXAUMIf7MRhN9dFMOfFVETtf3phu8FqgHNidezRhjjMlOfi/svRRYAPweqMadZJSMH+Imd3hcRJYBw4HFwL0aNSTGm0Fps6reFNVWDOQB47zHn/Ge+r2q/inJPMYYY0xK/G6R3gj8q6p+O5UXU9UjIvIx4D7gCdwZvN/FFdPYXLHTBj4AfDDq8TrvvgR4OJVcxhhjTLL8FtITwCtBvKCqvgZM62CZYX7ajDHGmLD5Pdnoe0CpiEg6wxhjjDF+PP744+Tk5FBbWxt2FN/DX+4WkXuAnSKymbaTKqiq3h54OmOMMSaOSZMm8dJLL5GXlxd2FN8nG30OuBVoxk0VGHuykQJWSI0xxmTEkCFDGDJkSNgxAP+7dpfiZjA6U1WHqOrZMbfhacxojDEmSzQ3N9O3b19WrFjB/PnzKSwspKCggOXLlwPw6KOPMnr0aPr27cvVV19NfX19mz5eeOEFVq9ezYEDB5LOMWDAAFasWJH0+kHyW0jzgdVRYz+NMcaEYPx4EGl9y88/nfHjO143CHv27KG2tpYVK1aQk5PD2rVrmTlzJgsWLGDu3LmUlZWxfPlyli5dyvr163nsscfa9HH06FEWLVrEkCFDGD9+PIsWLWLLli00Njb6ynDgwAEOHTrEuHHjgv72kuL3rN2fA5fgf3J6Y4wxaTB5Mrz2GrwbdYCtd2/lwgszcy5oZWUlAPPnz2fevHkAnHPOOaxZs4YdO3awceNGWs5LXbVqFbt3727Tx4wZMzh48CCvvPIKTz31FE899RTLli0jPz+f6dOnU1xczGWXXcbgwYPjZohEIgCMHTs2Hd9ip/ktpM8AS0VkEPAcca7goqpPBRnMGGO6u1tvhe3bO7dOQwPEbrg1NsKrr8LFF/vvZ9w4SGbPaEVFBf3792fOnDkn21rOnF24cCHRgztqa2spKIh/YS8RYcKECUyYMIGvf/3rHD58mF/+8pcsWbKEdevcNAGa4DLUkUiEoUOHJuw70/wW0p949zd6t1hK2wkUjDHGBCwnBwYOhDfeAFW3a7ewUOndO3NbpFOmTKFXr14n2yoqKujZsydTp0492VZXV8e+ffsYPXp0u/3t3buX8vJyysvLef7552lsbDy5VZpIRUVF1myNgv9CenZaUxhjzCko2XNlDh6E4cPh+HHo0we2bKlj5Mi+wYZLoLKykmuuuaZVWyQSYdSoUeTk5LRarrm5maKiojZ9VFdXc99991FeXs7rr7/OsGHDKC4upqysjGnTppGbm9tuhkgkwlVXXRXMNxQAv+NIbS5bY4zJEoMHQ0kJrFzp7gcOjL8LNGj19fVUV1e32RqMt4VYUVFBXl4ew4e3HdTx4osvUlVVxZe//GUuv/xyRo0a1WaZRBoaGti1a1fX2CIVkVxVrWv5uqOOWpY1xhiTfnfcAVVV7j5TqqqqaG5ujls0W048im4rKiqiR4+2g0OuvPJKJkyYcPLxzp3xr6IZr8BWVVXR1NTUNQopcFREJqvqy8Ax3HHQ9tgxUmOMyZDBg2Gzd/HJoxkamFhZWUleXh4jRow42XbkyBH279/PmDFjWi1bUVHRpq3FunXrmDVrVoevF+9ko0gkQm5uLiNHjuxk+vRpr5DeCPwx6uvM7DswxhiTlUpKSigpKWnVVlBQELfgbfaq/NE4Vb60tJTS0tKkMmzdupWJEyfG3dINS8JCqqo/jvr64YykMcYYY+Koqalhy5YtlJWVcdddd4UdpxVfJV1E9ohI3B3SInKeiOwJNpYxxhjzniVLljB37lxuuOEGbrnllrDjtOJ3+MswICfBc7nABwJJY4wxxsSxcuVKVq5cGXaMuNo7azcf6B/VNEhEzopZrA9wHVCThmzGGGNM1mtvi/Q24E7cSUYK/CLBcgL8S8C5jDHGmC6hvUK6FtiGK5QbgK8Au2KWeRfYpap/Tk88Y4wxJru1d9bubmA3gIhcAryiqscyFcwYY4zpCvwOxNkBDGh5IM5sEVkhIlemJ5oxxnQvia5mYoKXyffabyF9GHfMtMUS4H7gMuAXIvKlYGMZY0z30qtXL+rr68OOccqor69vdYWadPJbSD+Muw4pItIDuBlYpKqjgG8Bt6YnnjHGdA+FhYXU1NRQV1dnW6ZppKrU1dVRU1NDYWFhRl7T7zjSfsBh7+vzgTOANd7j57Czdo0xpl35+fkAHDhwgBMnTgTa9/Hjx+nTp0+gfQYljGy9evVi4MCBJ9/zdPNbSPcDo4EtwExgp6q2jB3tBxxPQzZjjOlW8vPz0/LHfdOmTYwfPz7wfoOQzdmC4nfX7mrgbhFZBywAVkU9dwHuZCRfRGS0iDwrInUickBElohIh1eOEZF+IvIjETkiIm+LyBoROdPv6xpjjDHp4PfC3t8WkRrgI8AtuMLa4gzgQT/9iEgBsBF4DfgkMAL4Dq6g/1sHq/8UOBcoBZqBZcB64O/9vLYxxhiTDn537aKqjwCPxGm/uROvdzPwN8DVqvoO8BtvKsLFInK319aGiEwGPg5cpKq/9dpqgJdE5FJV3diJDMYYY0xgEu7aFZHrReSMmLazRKRnTNv7RWSRz9crBp6JKZhluOJ6UQfr/aWliAJ4Fxzf6z1njDHGhKK9Y6SPAicvQe4dx9wLxF7yfCjwDZ+vNwrYGd3gTS9Y5z3nez3Pjg7WM8YYY9KqvUIqPts6owD4a5z2I95zQa9njDHGpJXvY6RdjYjMBmZ7DxtE5H/CzNOO9wGHwg6RgGWLQ6TD/yftfUuOZUteNufL5mwfCqKTTBfSI7hxp7EKvOfaW29AnPaE66nqKrxhOiKyTVUndC5qZli25Fi25Fi25GRzNsjufNmeLYh+OhpHGm8eq1TmttpJzDFNERkK5BL/GGjC9TyJjp0aY4wxGdFRIX1GRN4UkTeBg17bsy1tXnt5J16vHJghIqdHtV0L1AObO1hvkIhMaWkQkQnA8E6+vjHGGBOo9nbt3pWG1/shMA94XESW4QrhYuDe6CExIlINbFbVmwBU9b9F5NfAIyLyFd6bkOF3PseQrup4kdBYtuRYtuRYtuRkczbI7nzdPptk+ioEIjIauA+YjDsT90Fgsao2RS2zD9ikql+KausPfBe4Crcl/SQwT1Wz9SC2McaYU0DGC6kxxhjTnfidtD4rZfME+MlkE5HeIrJcRLaISL2IpOW/nCSzfcR7z6q99XaJyJ0iEuj1kZLMViQiT3vLN4jIn0XkQREZHHa2mPV7iMg2EVERuSLIbMnmE5FhXp7YW1nY2aLWvVpEfu/9Thz2Puu8MLOJyOIE75uKyNfCzOatN0FEfi0ib3m3jSIyKahcKWYr8rLVicghEXlARPoGmGukiKwUkQoRaRKRTT7XS7oudNlxpJLFE+CnkC3Xy/Qy8AIwLYg8AWW71lt2GbAbN8PVN7z7T4ecrR9u1q1HgAPA2cCdwPki8hFVbQwxW7RS4AOpZklTvq8AW6MeB3bIJJVsIlKKOxR0N/BV3JC3aQT0tyuFbA8CT8e0fQq4nYBOgEw2m7iREBuBPwBf8Jq/ipvb/O9U9U8hZuuHu4b167i/KWfiPtvBuPcvCEXA5cCLQK9OrJd8XVDVLnkDvoYbQ5of1bYAN91gfjvrTcYN4Zka1TbRa7s0zGzeci272+e6jydr3rf3xWmb7b1vHwz7fYvT13Qv24ezIRuuAPwfcJOX64os+VyHpSNPUD9zwFFgVrZlS9DXr4AdYWfDXRykCegX8/PXBMwJOdvXgHeA/lFtV3o/gxMCytYj6uuf4c636WidlOpCV961m80T4CebDfU+wTRKKpvGP6nrVe/+/WFmS+Cwd987iGCknu0buC2+ZwPKEyvI9y5oyWa7xrv/cbqCEdD75u0CnA78JAuy9QIagdqotmNeW6rTvKaabRywTVWjp3z9Da5gzQwimKo2J7FaSnWhKxfSbJ4AP9lsmRBktsm4XSB/DCZaatm8Y5C9ReRDwFLg97jd5KFmE5ExwI243afpkurn+iPveNJBEblXRP4mC7JNAnYBN4nIfhE5ISIviciFWZAt1qdxBSzIQppstp97y3xHRApFpBA34uEIsC7kbH2Ad2PaGnF/R/42oGzJSKkudOVCms0T4GfzJPuBZBORQbhjIY+q6ptZku0poAH3C3EGbndlMv+dBp3t+8B9qlodUJZ4ks3XAPwAt8v5Y8BKYA5u6yLsbINwc6H+G+7Y45W4raynRWRgyNliXQf8QVV3B5LKSSqbqh4ALsEV9794t6uBGar6f2FmA6qBsSISfezyfOA03O9sWFL6OejKhdSERER64w7MHwNuCzlOtFuAC3AnWPQFyiXgs4o7S0SuwxWDb4aZIxFVPaiqc1V1g6puUtXFwHzgEyIyNuR4gvscb1LVNar6NO6ElCbcOQRZwTs7/CKC3RpNmpdnHfAKbrdksff1r0TkrDCzAf+Jmzf9+yIySESKgPtxn2lQ//RmXFcupKlMgJ/Mep2RiddIVkrZRERwZ8cWAZerapDfT0rZVHW3qr6kqo8BM4DxwPVhZfP+616OO/uvh7hJRfK9p/Ok9VSZGc/Xjp959+enlOg9qfyuKrCppcE7JvcKMDrkbNGuwRX9/wooU4tks30Vt5v5M6r6tPcPyKdxxSqowwtJZVPVnbiTFD+Lm3a2Anf4ZTvwRkDZkpHSz0FXLqTZPAF+stkyIdVsK3Cnu3/S+6XIpmwnqTvF/y3cNJRhZcvDDXe5F/fLeASIeM+V8d7JWmHlS0Rj7lOVbLYduAIVe4KMENzWSxDv23W46Ur/N6BMqWYbBVSp6omWBlV9F6jCDVMJMxuquhoYiBs6937c3oWRuOEqYUmpLnTlQprNE+Anmy0Tks7mDTSfC3xeVX+XTdlieSccnYk76y6sbMdwx6qib5/1nlsEfC6gbMnmS+Qz3v0rQQQj+WxPeveXtDR44xDP571/SMLK1pJnGO5wQjp26yab7U/Aed4hGABEJAc4D9gXcjYAVPW4qlaq6l+Az+Nq0U8DypaM1OpCEON2wrjhNrkP4k6dvhS3u+AY8M2Y5aqBh2LangH24A7Afwp3ZuCWLMlWjPtD9iBui+Az3u2DYWbD7SJV4Ee4PxzRtwEhZ7sHd5buVbg/uv+I+4NRDeSF/ZnGPD+M9IwjTfa9W4wbSH+1t94S3B/Dn4edzWtb7637RdzwiM248bgFYWfz2hcCJ4gzzjrEz/R8L9OvvPfsClwxOAGMDTlbPu5Qx0zc4ZelXq4vBfi+5fLe383/xm2JtzzObednLem6EOgHn+kb7jjJc94v/kHcWL3TYpbZBzwc09YfVxD+ihscvDboX4QUsu3D/aGNvQX5g9bpbMDDCXJlQ7brcGM038Kdfr8TVxyy4jONeX4YaZoAIYX3bhvwNm5YQjWumOaEnc1r6ws8gBsXXI+bTefvsiGb174deDrozzKA9+1jwG+934m3cP+AXBx2Ntzhjl97mepxQ9Q+FXCult+xeLdh7bxnSdcFm7TeGGOMSUFXPkZqjDHGhM4KqTHGGJMCK6TGGGNMCqyQGmOMMSmwQmqMMcakwAqpMcYYkwIrpMYYY0wKrJAa0wWIyEoRqfempDPGZBErpMZkOW/OzxnA3biLBhhjsogVUmOymHfZuvtwc5neBbxPRGak2qeIbBeRL8a0nysii6MnO++gn/tE5KFUshjTHdgUgcacYkTkWtx1Ukdo1KW2ROSfgX9V1UKf/QzDzWt8nqpWpyGqMV2CbZEac+qZBzwaXUQ9Y4D/8duJqu4DfgfMCS6aMV2PFVJjspSIXCQiKiKXR7WdLSJvish/JNnnSOBC4Gcx7W8CNwKXeK+pIjLNR5c/Bz4nIva3xJyybNeuMVlMRJ7DXdLso95FrV/AXaz8k6ralER/X8ZdYi5fVZu9NgEmAc97z7VcUHu7qh7voL+xuEuJjVPVoC62bUyXYv9FGpPd7gQuFJGPAz/FXQT5umSKqOd8YEdLEQVQ99/0G0Af4ElVfdG7tVtEPVVAEzAxyTzGdHk9ww5gjElMVbeIyEbgF7gLDk9S1WMpdDkIOBSnfQzuwseVnczXKCJ/9fo15pRkW6TGZL9qIBe4U1X3d3ZlERklIg96D/sADXEWGwPsUdXamHUfEJEaEWnvGFCD168xpyQrpMZkMRGZjTsJKALclEwfqrpTVUu9h28B/eMsNsZ7jVg/AT7cwUv09/o15pRkhdSYLCUi04EfALOAm4ELRKQ4iX5+KCLXeQ93AWfHWWwUbkxoK6r6W1X9Szt9D8BtLb/e2VzGdBdWSI3JQiJSBKwDlqnqI6r6IrARWJxEd+NwZ9YCbAXO8gpgtHeAqSIyVUQu8M7k9WMC7tjqC0nkMqZbsEJqTJYRkULcEJRfA3dEPfUNYKKIzIxa9g8icijObY33fA9gOO9tMW7C7Ya9LOZlFwJnAM8C69X/uLjLgM2qerhT36Qx3YiNIzWmGxORUcDDqnpBVNv3gJGqOjPxmm36UVWVmLbTgD8BC1X1saAyG9PV2BapMd1b9G7dFstxMxidm2Lf/wDUA2Up9mNMl2aF1JjurU0h9YbQ3AgM7mhlEXlQRPZ7X++PGkYDIMBNqtoYYF5juhzbtWuMMcakwLZIjTHGmBRYITXGGGNSYIXUGGOMSYEVUmOMMSYFVkiNMcaYFFghNcYYY1JghdQYY4xJgRVSY4wxJgVWSI0xxpgU/D+bKMaRkQKJKAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 20\n",
    "t_1 = 1\n",
    "N_excl = 4\n",
    "\n",
    "populations = BC_SJT(N, t_1, N_excl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Populations of Groups (no Excluding)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>54.00</td>\n",
       "      <td>110.00</td>\n",
       "      <td>270.00</td>\n",
       "      <td>350.00</td>\n",
       "      <td>319.00</td>\n",
       "      <td>186.00</td>\n",
       "      <td>77.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>91.00</td>\n",
       "      <td>213.00</td>\n",
       "      <td>364.00</td>\n",
       "      <td>399.00</td>\n",
       "      <td>300.00</td>\n",
       "      <td>142.00</td>\n",
       "      <td>57.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>12.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>109.00</td>\n",
       "      <td>317.00</td>\n",
       "      <td>605.00</td>\n",
       "      <td>693.00</td>\n",
       "      <td>535.00</td>\n",
       "      <td>247.00</td>\n",
       "      <td>115.00</td>\n",
       "      <td>59.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>25.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>13.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>69.00</td>\n",
       "      <td>146.00</td>\n",
       "      <td>417.00</td>\n",
       "      <td>821.00</td>\n",
       "      <td>1082.00</td>\n",
       "      <td>840.00</td>\n",
       "      <td>454.00</td>\n",
       "      <td>189.00</td>\n",
       "      <td>98.00</td>\n",
       "      <td>63.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>23.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>67.00</td>\n",
       "      <td>178.00</td>\n",
       "      <td>504.00</td>\n",
       "      <td>1112.00</td>\n",
       "      <td>1510.00</td>\n",
       "      <td>1298.00</td>\n",
       "      <td>670.00</td>\n",
       "      <td>339.00</td>\n",
       "      <td>130.00</td>\n",
       "      <td>73.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>25.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>27.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>82.00</td>\n",
       "      <td>221.00</td>\n",
       "      <td>560.00</td>\n",
       "      <td>1423.00</td>\n",
       "      <td>1982.00</td>\n",
       "      <td>1752.00</td>\n",
       "      <td>1002.00</td>\n",
       "      <td>453.00</td>\n",
       "      <td>213.00</td>\n",
       "      <td>115.00</td>\n",
       "      <td>57.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>23.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>36.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>89.00</td>\n",
       "      <td>222.00</td>\n",
       "      <td>752.00</td>\n",
       "      <td>1783.00</td>\n",
       "      <td>2762.00</td>\n",
       "      <td>2565.00</td>\n",
       "      <td>1393.00</td>\n",
       "      <td>662.00</td>\n",
       "      <td>269.00</td>\n",
       "      <td>157.00</td>\n",
       "      <td>93.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>37.00</td>\n",
       "      <td>24.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>55.00</td>\n",
       "      <td>109.00</td>\n",
       "      <td>310.00</td>\n",
       "      <td>809.00</td>\n",
       "      <td>1902.00</td>\n",
       "      <td>3453.00</td>\n",
       "      <td>3471.00</td>\n",
       "      <td>2098.00</td>\n",
       "      <td>1003.00</td>\n",
       "      <td>400.00</td>\n",
       "      <td>192.00</td>\n",
       "      <td>97.00</td>\n",
       "      <td>65.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>37.00</td>\n",
       "      <td>27.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>140.00</td>\n",
       "      <td>293.00</td>\n",
       "      <td>857.00</td>\n",
       "      <td>2254.00</td>\n",
       "      <td>4239.00</td>\n",
       "      <td>4729.00</td>\n",
       "      <td>2952.00</td>\n",
       "      <td>1349.00</td>\n",
       "      <td>618.00</td>\n",
       "      <td>303.00</td>\n",
       "      <td>137.00</td>\n",
       "      <td>98.00</td>\n",
       "      <td>60.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>8.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>42.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>67.00</td>\n",
       "      <td>77.00</td>\n",
       "      <td>103.00</td>\n",
       "      <td>354.00</td>\n",
       "      <td>867.00</td>\n",
       "      <td>2248.00</td>\n",
       "      <td>4629.00</td>\n",
       "      <td>5404.00</td>\n",
       "      <td>3534.00</td>\n",
       "      <td>1695.00</td>\n",
       "      <td>851.00</td>\n",
       "      <td>386.00</td>\n",
       "      <td>247.00</td>\n",
       "      <td>114.00</td>\n",
       "      <td>85.00</td>\n",
       "      <td>58.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>37.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>31.00</td>\n",
       "      <td>60.00</td>\n",
       "      <td>94.00</td>\n",
       "      <td>207.00</td>\n",
       "      <td>531.00</td>\n",
       "      <td>1514.00</td>\n",
       "      <td>3526.00</td>\n",
       "      <td>4593.00</td>\n",
       "      <td>3278.00</td>\n",
       "      <td>1682.00</td>\n",
       "      <td>809.00</td>\n",
       "      <td>449.00</td>\n",
       "      <td>248.00</td>\n",
       "      <td>133.00</td>\n",
       "      <td>98.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>9.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>30.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>68.00</td>\n",
       "      <td>133.00</td>\n",
       "      <td>389.00</td>\n",
       "      <td>1006.00</td>\n",
       "      <td>2423.00</td>\n",
       "      <td>3527.00</td>\n",
       "      <td>2564.00</td>\n",
       "      <td>1452.00</td>\n",
       "      <td>786.00</td>\n",
       "      <td>393.00</td>\n",
       "      <td>214.00</td>\n",
       "      <td>132.00</td>\n",
       "      <td>71.00</td>\n",
       "      <td>63.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>10.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>27.00</td>\n",
       "      <td>23.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>29.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>114.00</td>\n",
       "      <td>236.00</td>\n",
       "      <td>672.00</td>\n",
       "      <td>1677.00</td>\n",
       "      <td>2495.00</td>\n",
       "      <td>2052.00</td>\n",
       "      <td>1110.00</td>\n",
       "      <td>660.00</td>\n",
       "      <td>382.00</td>\n",
       "      <td>224.00</td>\n",
       "      <td>134.00</td>\n",
       "      <td>67.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>29.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>16.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>25.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>83.00</td>\n",
       "      <td>172.00</td>\n",
       "      <td>432.00</td>\n",
       "      <td>1138.00</td>\n",
       "      <td>1820.00</td>\n",
       "      <td>1489.00</td>\n",
       "      <td>914.00</td>\n",
       "      <td>545.00</td>\n",
       "      <td>310.00</td>\n",
       "      <td>178.00</td>\n",
       "      <td>108.00</td>\n",
       "      <td>56.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>16.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>61.00</td>\n",
       "      <td>123.00</td>\n",
       "      <td>351.00</td>\n",
       "      <td>714.00</td>\n",
       "      <td>1145.00</td>\n",
       "      <td>1058.00</td>\n",
       "      <td>668.00</td>\n",
       "      <td>418.00</td>\n",
       "      <td>235.00</td>\n",
       "      <td>153.00</td>\n",
       "      <td>81.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>23.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>14.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>73.00</td>\n",
       "      <td>209.00</td>\n",
       "      <td>444.00</td>\n",
       "      <td>717.00</td>\n",
       "      <td>731.00</td>\n",
       "      <td>423.00</td>\n",
       "      <td>297.00</td>\n",
       "      <td>161.00</td>\n",
       "      <td>100.00</td>\n",
       "      <td>69.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>12.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>25.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>102.00</td>\n",
       "      <td>258.00</td>\n",
       "      <td>381.00</td>\n",
       "      <td>359.00</td>\n",
       "      <td>245.00</td>\n",
       "      <td>176.00</td>\n",
       "      <td>130.00</td>\n",
       "      <td>61.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>4.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>61.00</td>\n",
       "      <td>132.00</td>\n",
       "      <td>201.00</td>\n",
       "      <td>175.00</td>\n",
       "      <td>138.00</td>\n",
       "      <td>80.00</td>\n",
       "      <td>60.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>27.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>67.00</td>\n",
       "      <td>74.00</td>\n",
       "      <td>70.00</td>\n",
       "      <td>73.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      1     2     3     4      5      6      7       8       9       10  \\\n",
       "1   6.00  3.00 10.00  9.00  18.00  54.00 110.00  270.00  350.00  319.00   \n",
       "2   5.00  4.00  8.00 21.00  30.00  91.00 213.00  364.00  399.00  300.00   \n",
       "3  12.00  7.00 14.00 17.00  39.00 109.00 317.00  605.00  693.00  535.00   \n",
       "4  13.00 14.00 19.00 30.00  69.00 146.00 417.00  821.00 1082.00  840.00   \n",
       "5  23.00 20.00 22.00 35.00  67.00 178.00 504.00 1112.00 1510.00 1298.00   \n",
       "6  25.00 18.00 27.00 32.00  82.00 221.00 560.00 1423.00 1982.00 1752.00   \n",
       "7  36.00 19.00 21.00 36.00  89.00 222.00 752.00 1783.00 2762.00 2565.00   \n",
       "8  37.00 24.00 35.00 55.00 109.00 310.00 809.00 1902.00 3453.00 3471.00   \n",
       "9  37.00 27.00 33.00 51.00 140.00 293.00 857.00 2254.00 4239.00 4729.00   \n",
       "10 42.00 30.00 67.00 77.00 103.00 354.00 867.00 2248.00 4629.00 5404.00   \n",
       "11 37.00 20.00 31.00 60.00  94.00 207.00 531.00 1514.00 3526.00 4593.00   \n",
       "12 30.00 17.00 28.00 40.00  68.00 133.00 389.00 1006.00 2423.00 3527.00   \n",
       "13 27.00 23.00 22.00 29.00  46.00 114.00 236.00  672.00 1677.00 2495.00   \n",
       "14 16.00 10.00 19.00 25.00  26.00  83.00 172.00  432.00 1138.00 1820.00   \n",
       "15 16.00  9.00 11.00 12.00  30.00  61.00 123.00  351.00  714.00 1145.00   \n",
       "16 14.00  4.00  7.00 12.00  18.00  42.00  73.00  209.00  444.00  717.00   \n",
       "17 12.00  3.00  3.00  7.00  14.00  25.00  43.00  102.00  258.00  381.00   \n",
       "18  4.00  0.00  1.00  7.00   7.00  13.00  21.00   61.00  132.00  201.00   \n",
       "19  2.00  2.00  4.00  0.00   2.00   5.00  18.00   28.00   67.00   74.00   \n",
       "20  0.00  0.00  0.00  0.00   1.00   2.00   2.00    7.00   13.00   14.00   \n",
       "\n",
       "        11      12     13     14     15     16    17    18    19    20  \n",
       "1   186.00   77.00  28.00  16.00  10.00   4.00  6.00  3.00  1.00  2.00  \n",
       "2   142.00   57.00  35.00  15.00  11.00   4.00  7.00  3.00  4.00  1.00  \n",
       "3   247.00  115.00  59.00  35.00  25.00  12.00  7.00  5.00  3.00  1.00  \n",
       "4   454.00  189.00  98.00  63.00  26.00  26.00 10.00  5.00  3.00  0.00  \n",
       "5   670.00  339.00 130.00  73.00  51.00  30.00 13.00 11.00  6.00  1.00  \n",
       "6  1002.00  453.00 213.00 115.00  57.00  35.00 23.00 18.00  7.00  2.00  \n",
       "7  1393.00  662.00 269.00 157.00  93.00  49.00 26.00 16.00 19.00  6.00  \n",
       "8  2098.00 1003.00 400.00 192.00  97.00  65.00 41.00 32.00 19.00  5.00  \n",
       "9  2952.00 1349.00 618.00 303.00 137.00  98.00 60.00 32.00 28.00  8.00  \n",
       "10 3534.00 1695.00 851.00 386.00 247.00 114.00 85.00 58.00 34.00  6.00  \n",
       "11 3278.00 1682.00 809.00 449.00 248.00 133.00 98.00 45.00 39.00  9.00  \n",
       "12 2564.00 1452.00 786.00 393.00 214.00 132.00 71.00 63.00 28.00 10.00  \n",
       "13 2052.00 1110.00 660.00 382.00 224.00 134.00 67.00 44.00 29.00  5.00  \n",
       "14 1489.00  914.00 545.00 310.00 178.00 108.00 56.00 36.00 20.00  5.00  \n",
       "15 1058.00  668.00 418.00 235.00 153.00  81.00 48.00 37.00 23.00  4.00  \n",
       "16  731.00  423.00 297.00 161.00 100.00  69.00 41.00 35.00 14.00  6.00  \n",
       "17  359.00  245.00 176.00 130.00  61.00  48.00 37.00 21.00  6.00  4.00  \n",
       "18  175.00  138.00  80.00  60.00  44.00  27.00 14.00 10.00  2.00  0.00  \n",
       "19   70.00   73.00  35.00  33.00  19.00  17.00  7.00  7.00  2.00  0.00  \n",
       "20   19.00   12.00   9.00  10.00   3.00   2.00  2.00  2.00  0.00  1.00  "
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(populations, \n",
    "             columns=np.arange(1, N+1), \n",
    "             index = np.arange(1, N+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## t2->t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c77a110a5b3e44ac9f68d7e00c306d01",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=20), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:49: UserWarning:\n",
      "\n",
      "Boolean Series key will be reindexed to match DataFrame index.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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y5pln1ih2kWKjWrsidZCZ8dZbb9GrVy8aNGjAG2+8Qe/evVMeP3bsWBYsWMCvfvWrdbaPGzeOu+66iyZNmsS676WXXsqjjz7KnDlzahS/SDFRIhUR7rzzTk455RQaN268zvbp06ez2267xb5Ohw4d6NatG3fffXe2QxQpWEqkInXMpEmTMDNefPHFn7fNnTuXtm3bcuedd653/Jw5c5gyZQrHH3/8Otvbtm3LyJEjKS8vx8wwM1577bUq79+vXz8effRR1qxZryCaSJ2kRCpSxxxyyCGUlpZy3XXXAfC///2Po446iv32248LLrhgveMnTJhA8+bN2XPPPX/e5u48++yzNGvWjCuvvJI333yTN998k65du1Z5/65du/L111/zr3/9K3t/KJECFiuRRkuptUixr4WZHZzdsESkJoYNG8aUKVN45ZVX+OUvf0njxo0ZM2YMDRs2XO/YadOmsfPOO9Ogwdp/DsyMdu3asXz5co466igOOOAADjjgAJo1q7r2yq677krDhg155513svpnEilUVc0jrVBOqKdb2d+MnaL96/8NFZG8OOiggzj00EM57rjj2HTTTXn77bdp0aLS34X56quv2Gyz9euuTJ8+HTNj9913z+jejRo1YtNNN+Wrr76qVuwixSbuo11Ls68FsDTuDc1sFzObYGZLzewLM7smWpKtqvP2MbNXzGxB9HrVzPaPe1+R+maHHXZg6dKlDBs2jK222mqdfbNmzeKss84CYPny5TRt2nS986dPn852221H8+bNf9722Wef0bNnT3beeWd23XVXLrvsMtzXr8fStGlTli9fnuU/kUhhSrce6cFA94RNZ5nZ4UmHNQOOBGJ1hphZS+BVYCZwDLA9cAshoV+V5rz20XnvAadEmwcB481sd81jFVnXfffdx8iRI9lzzz0ZMWLEz0mzQqdOnXjggQcAaNWqVaWtx+nTp6/TbwqhtTl8+HD22WcfVq5cyWGHHcZTTz1Fv3791jnuhx9+oFWrVln+U4kUpnSPdvcHLkr43h/4KemYlcAsQlKL41xgA6Cvuy8iJMKNgaFmdlO0rTJHAhsBx7n7/wDMbArwHXAEoLH2IpHx48dzwQUXMGLECDp27EiXLl0YN24cffr0+fmYc889l+7duzNgwAB22mkn3nzzzfWuM2vWLI4++uh1tpWUlFBSEhZ7atKkCXvssQefffbZOsd8++23LF26lI4dO+bgTydSeNJVNrrZ3du4exvgU6B7xfeE15bu3tPd34t5vz7Ay0kJcwwhuR6S5rzGhCS+JGHb4mhbusfOIvXKjBkz6N+/P4MHD+bUU0/lgAMO4NBDD2Xo0KHrHPf++++z1157AXDggQcyb948vv3223WO2XjjjZk8eTKTJ0/mrbfeWu8R7vfff88zzzyzXqGHqVOnYmaxRviK1AUpE6mZrTazfaOvE4FUrcVMdCK0YH/m7vMIfazpVpF5MjrmFjNra2ZtgduAhcDjWYhLpE446qij6NWrF9dee+3P28rKynjnnXd44YUXAFizZg0ff/zxzy3G7t2706pVK1566aV1rnXjjTeyYMECevbsybHHHovZ2t9ZV6xYwfHHH8/FF1/MzjvvvM55L730EocccgitW7fO1R9TpKCkG2y0EqgYgXAq0CYL92sJ/FDJ9oXRvkq5+xdAKdAP+Dp69QV6u/u3qc4TqW/mzp3L2LFj10l6Bx98MO7OkUceCYT6udttt93P012aNGnCySefzJgxY9a5Vrdu3ZgxYwarVq1apw919erVnHTSSXTu3JlLLrlknXNWr17Nk08+qXq7Uq+k6yOdSei7fIbw+PR4M9snxbHu7jnrpzSzEkLLcxpQMWriAuAFM+satWqTzzkbOBugTZs2TJw4MVfh1cjixYsVWzUotspVdd/FixczevRo2rZtu86x3bp149577+WRRx6hffv2aa9x8803s2bNGo4++uj17ldR+aikpCTjn4H+m1ZfIcdXyLFljbtX+gK6EkbjrgJWA2vSvFanuk7SNb8BhlSyfQkwKM15twKfAI0TtjUh9N3eWdV9O3bs6IWqvLw83yGkpNiqJ1+xhb/O6ZWXl/vgwYP97rvvXm/fY4895hMnTkx7/htvvOGA77bbbr7nnnv6nnvu6XfcccfP+0ePHu2TJk3KPHjXf9OaKOT4Cjk2YKrHyF1VvVK2SN19CrA7gJmtAQ5w95qWKplFUl9oNLVlQ5L6TpN0Ama4+6qE+Faa2QzCFBoRienGG2+sdPuAAQOqPPfAAw+sdN5ohRNPPLHacYkUq7gFGUoJj3prahzQ28w2Sth2ArAMmJTmvE+B3czs57WczKwpsBuhpSoiIpIXsRKpu09y98Vm1sfMyszsPjPbGn6uw7tFzPvdA6wAnjKzQ6N+zKHArZ4wJcbM5pjZiITzHgC2AJ42syPN7CjgGaAEuC/mvaW+6NwZzNZ/de6c78hEpA6KW7R+czN7G3gOOA04E6goznkGUBbnOu6+EOhJqMv7HDCMMI1lSNKhjUio3evu04DDCUUZHgFGER4HH+buH8S5t9QjXbpA8kLUTZqA5jWKSA7ELVr/f4Saup0Ij1JXJux7lfUTYUruPhPoUcUxHSrZNgGYEPc+Uo+VlcGDD667bdUq+PxzuOoq2H77ta+SEmhQxe+TnTvD+++vv32vveCf/8xe3CJSlOIm0sOB09x9TiUF5ucDW2Y3LJEaKCmBfv3g0UfD9wYNwrbp0+H552H16rXHNmsG2223bnKteHXoEFqyXbrAzJmwMuH3R7VwRSQSN5HC+nV2K2xGGCwkUjjaJNQPadoUpk6Fdu1Cy/TTT+Gjj9Z/TZgASxMWMmrQANq3h622Wjf5AjRsGFq+IlLvxU2krwO/MbMXE7ZVjIEfCLyW1ahEamL1anjiiZAEP/8czjgjJFGAxo1hhx3CK5k7fPVV5Um2UaO1ybRBAzjmmLXXFJF6LW4iHQy8AfwbeJqQRH9tZrsS5poekJvwRKph/HiYPx/uvTc83o3bcjQLj4BLSqBbt3X3ffklbLstrFgBa9bAmDGwbBkMHhwe/YpIvRV3+su/gb2BqcDphEpHfQn9o/u7++xcBSiSsREjoHVrOO00mDQpOy3HkhIYODC0Rs84A66+Gl5/PfSTHnwwvPBCaNGKSL0Tu4/U3T9i7aLaIoXp22/h73+HCy4IfaPZVFYGM2bA9deH5HzZZfDAA3DrrXDUUbDbbnDZZVi0XqeI1A9xKxulZGb9zGx11UeK1IK//jUMKMrF6iMlJeu2cJs3h9/+FubMgUceCdtOPZX9Tz4Z7rgDlixJfS0RqTNqnEhFCoZ7eKy7336hdVhbGjeGk08O02teeIHlm28OF18MW28NQ4bAd9/VXiwiUuuUSKXuePfd8Oh14MD83N8MjjiC9++4A6ZMgYMOgmuuCQn1oovgk09UvlCkDlIilbpjxAjYYAOIsYpJznXpAs88Ewo5nHhiGEG8ww6weHFowSZScQeRoqZEKnXDkiXw2GPQvz9sskm+o1lr551Dgp87F373O/jii9CHm0jFHUSKWspRu2Y2NuY1tspSLCLV98QT8OOPuRlklA1bbgk33wxXXgmHHw5vvx22N268bsEIESk66aa/tEmzL9EKYHIWYhGpvhEjYMcdQ79kIdt0U3j66VDfd/ny0Do9/fR8RyUiNZAykbp7aW0GIlJts2eH4gg33BAG7hS6kpLQCr3nntAiPf10+Mc/QpIVkaKjPlIpfiNHhn7G007LdyTxlZWF1vNjj8F//wvHH79+36mIFAUlUiluP/0EDz8MRxwRWnrFoqK4Q9++cP/9YeWZ885TmUGRIpTJMmoihefFF8OKLYU6yCiO004LK8xce21YB/UPf8h3RCKSASVSKW4jR8Lmm4cWaTEbNiwk0yuuCAORTjgh3xGJSEx6tCvF66uv4Pnn4dRT1y9yUGzMwi8F3bqFFuqUKfmOSERiyiiRWtDezLqaWfNcBSUSy6hRYbHtfJUEzLamTUM1pK23DguHf/RRviMSkRhiJ1IzOx/4HPgUeB3YKdr+lJldnJvwRFKoKFB/4IHQqVO+o8me1q3Xrm16xBGwYEG+IxKRKsRKpGY2CLgVuB/oASRO1psIqENHatUm//53mD9azIOMUtlxx9Ay/eQTOO44WLEi3xGJSBpxW6QXAFe7+xBCazTRh0DHrEYlUoV2L74ILVqE2rp1Ubdu8NBDMHky/PrXmhYjUsDijtptB0xLsW8N0Cw74YjEsGgRbSdODGuAtmiR72hy58QTQz9pWVmYFjNkSL4jEpFKxG2RzgEOSbHvYGBmdsIRieFvf6Ph8uV187FusiuvDCUEhw6Fv/4139GISCXiJtLbgcvN7Cpgx2hbWzM7E/g9cFvcG5rZLmY2wcyWmtkXZnaNmTWs4pyhZuYpXpq9Xt+MGMGSbbaB/ffPdyS5ZxbWMi0tDaOTJ03Kd0QikiRWInX3B4ArgcHAjGjzi8AdwFB3Hx3nOmbWEngVcOAY4BrgEmBYFac+AHRJeg2P9o2Lc2+pI2bMgLff5ssjjiiOAvXZ0KQJPPlkeLx73HHw4Yf5jkhEEsSubOTuN5vZPUBXoDWwAHjT3f+Xwf3OBTYA+rr7ImC8mW0MDDWzm6Jtld17PjA/cZuZlQGz3P39DO4vxW7kSGjUiK979WKHfMdSm1q2DNNiDjggTIt56y1oE3elQxHJpYwKMrj7j+7+sruPdveXMkyiAH2Al5MS5hhCck3VB7seM2sNHAY8luH9JVs6dw4twuRX5865u+fKlaEIw//7f6yqj0uObbcdPPssfPEFHHtsWM9URPIudovUzJoRBhZtxfqjdN3d745xmU7Aa0knzjOzpdG+52KG0w9ojBJp/nTpAjNnhuRWoUkT6No1d/d87jn47rv6McgolQMOgEceCdN+Tj8dRo+GBqr0KZJPsRKpmXUDngRSPUtyIE4ibQn8UMn2hdG+uAYA77n7fzM4R7KprAwefHDdbQ0bhu25MmIEbLkl9O4dFvKur44/HoYPh8GDQ7/pddflOyKRes08xkRvM3sPWEHo45zp7tVagdjMVgGD3P32pO3zgVHufkWMa5QQ+ksHu/uf0hx3NnA2QJs2bfYeO3ZsdULOucWLF9OiQOdCVhXbjrfdRskLL9Bg9Woc+LJPH2ZfdllOYmn67bccMGAA8371K+aeeWZR/9yywp2Ot9zCkS9cy/tUPE43wu+0sHuTmdz58jf5ia2aFFv1FXJ8hRxbaWnpNHffp8YXcvcqX8ASoHecY6u4zjfAkBTXHxTzGr8lFIFoH/e+HTt29EJVXl6e7xBSqjK2L75wb9bMPdTdcd9zT/cFC3ITzLXXhnt89FG82PKo1mJbudLPa/6wN2FZ9J8AB/cmLPPzd52Y39iqQbFVXyHHV8ixAVO9hnnN3WMPNppOqG5UU7MIfaE/M7P2wIbRvjgGAG+4+2dZiEdqoqQEzjgj9NEdcUToM+3VCxYuzO591qwJo3VLS8OAGwkaN6ZsXFcasO5TpYasoWz0znkKSqT+iZtIzwN+Z2axR9amMA7obWYbJWw7AVgGVDnT3Mw6AAegQUaFo6ws1IUdMQKeego++CD7yXTiRJg7t34PMkqh5KAd6NvhPSoe6TZmJWfs+i7t9mib38BE6pGUidTMvjWzb8zsG+AVQkWj18xsWcX2xFfM+91D6Gt9yswOjfoxhwK3esKUGDObY2YjKjl/APAT8HjM+0mulZSEajvt2sFRR+UmmY4cCZtsAn37Zud6dcyfnt6BpoQVYlbRmGOu2i3PEYnUL+lG7f4FyOqSE+6+0Mx6An8mTHX5gVBecGglcVVWNnAAMMHdv8tmXJJFFcm0b9+QTF95JRQTqK4ffghVfQYOhA02yF6cdUjJXpszcNdJ3D0DWjRewQnnteaV7WHfffMdmUj9kDKRuvvQXNzQ3WcS1jRNd0yHFNv3ykVMkmUVybRfv5on09GjQ+EBPdZNq+yvnbi7M7z298WccEEzDj0UXn45TDsVkdyKu7D3a2bWKcW+jmb2WmX7pB476qjQkpw+vWaPeUeMgD33zG3FpDqgZK/NAdi3z2ZMmhSqB/bqBVOm5DkwkXog7mCj7sDGKfZtTKh4JLKuxE7qeSkAACAASURBVGR62GGZJ9P334f33gut0fpSoD4L2rdf221d32tXiNSGTGqLrddfamZNCI9pv8paRFK3VCTTf/0r82Q6YgQ0bQonnZS7+OqoLbcMyXSrreDww8PAZxHJjXSjdoeY2WozW01Iom9VfE/Yvgy4AdCKw5JadZLp8uXw6KNh2bBWrXIfYx1UUgLl5dChQ5jmO2FCviMSqZvSjdp9EfiOUHfsTuAW4JOkY1YSljLTwyNJryKZ9usXkun48ekHID39dEi4GmRUI+3ahWTas2f4T3DNNS3p3j3fUYnULelG7b4LvAtgZj8Cz7v797UVmNRBmSTTESNCU6pH2gHeEkPbtiGZHnooXHnl7uy+e3jcKyLZEauP1N0fVhKVrKiYGpPuMe8nn4TnkBXlB6XGNtss/Eg7dFjCMceENcJFJDv0r5TUviOPTJ9MH3wwjNI9/fS8hFdXtW4Nt9zyAXvsEbqen3023xGJ1A1KpJIfqZLp6tUhkfbqBVtvnd8Y66CNNvqJ8ePDtNx+/UJXtIjUjBKp5E9FMp02LYzMNYNGjeCzz0JZHhVhyIlNNw3FpvbdF/r3h8dVuVqkRpRIJb+OPBL69Fl/e5Mm0LVr7cdTT2yySfhdpUsXOPFEGDMm3xGJFK90019+ZmbpnrGtARYlrt4ikpGKEborV67d1rBhWKJNcmajjWDcuPC7zEknhafqqn0hkrm4LdJPgLkpXp8CC81srpn9LhdBSh1XUhLmizaKfq9r3DiM2G2XjbXkJZ0WLeDFF+GQQ+Dkk8PT9eSXnrCLpBc3kf4KmA+8BJwP9I/eXwY+By4AJgA3KZlKtZSVrU2kjRqpNVqLmjeH558PZQWT6Qm7SNXiJtJDgWfd/Uh3v9fdn4rejwD+DnR197MIa5iem6tgpQ4rKVk7b1St0Vq34YYwefL603b1hF2kanETaX9CwqzMs8Ax0edxwDY1DUrqqbIy6NZN/3LnyXbbrbvQTsOG+p1GJI64iXQ5cGCKfQdG+yHU5V1S06CkniopWbv+l+TFsGFhwR0Ig48aNQJfb90nEUkUN5HeB5SZ2Z1mdpiZ7RW9/xm4Crg3Oq4r8EEuAhWR3Et8wr7zznDnnXDhhbBmTb4jEylcsaa/uHuZmS0ABgEXEpZVM8I6pIPc/bbo0L8BI3MRqIjUjrIymDEjzC29/Xa46Sb44Qd46KEwoFpE1hUrkQK4+21mdgfQHmhHSKKfufuahGNmZD9EEalNFU/YAYYPDwv0/OEPsGgRjB0LG2yQ3/hECk3sRAoQJc1Po5eI1AOXXx4qIV1wQShC9eyzsPHG+Y5KpHDETqRmtgVwFLAV0Cxpt7v74GwGJiKF47zzQo3eU08NS8S+9FJYmk1E4pcIPA54DGgIfAOsTDrEASVSkTrsxBNDS/T44+Hgg0Ph+622yndUIvkXd9Tu9cArwObuvqW7b5v02i6HMYpIgTjyyFDsfv78MOX3v//Nd0Qi+Rc3kbYH7nT3BbkMRkQK38EHQ3k5LFkCBx0EH2jCm9RzcRPpFGCnbNzQzHYxswlmttTMvjCza8ysYcxz+5rZu2a2zMy+N7OXzKx5NuISkfj23htefz1Mh+neHaZMyXdEIvkTN5H+HjjbzE4zsy3MbMPkV5yLmFlL4FVCn+oxwDXAJcCwGOeeBYwmlCHsA5wF/JcMRx6LSHZ06gRvvAFt2sBhh4U+U5H6KG4Smh69P0hIgpWJ06o8F9gA6ButXzrezDYGhprZTanWNDWzzYDbgIvc/f6EXU/Hil5EcmKbbULLtHdvOOooGD06DEYSqU/iJtKBpE6gmegDvJyUMMcAw4FDgOdSnPfL6P3hLMQgIlm0+eYwcWJIpCecAPfdF4rfi9QXcUsEPpSl+3UCXku69jwzWxrtS5VI9wc+BM40syuBzYH3gN+5u3pnRPJs003DaN5+/eCss0JJwUsuyXdUIrUjbh9ptrQEfqhk+8JoXyrtCIOdriLMVz2asMrMS2a2ebaDFJHMNW8eqh717w+XXgpXXaWVY6R+ME/xf7qZvQOc7u4zzexdqni06+77VXkzs1WEIve3J22fD4xy9ytSnPcKcBjQx91firZtTChV+Gd3X28BSzM7GzgboE2bNnuPHTu2qvDyYvHixbRo0SLfYVRKsVVPvmIrLS2lvLw87TG1Edvq1XDbbR154YUtKt2/ww4/cv/90/ISW3UVcmxQ2PEVcmylpaXT3H2fml4n3aPdGcCyhM/Z+N1yIbBJJdtbRvvSnefAxIoN7r7IzKYBu1R2grvfR1j+jZ122sm7d+9evYhzbOLEiSi2zCm2ylV139qKrUcP+MUv4P33193epAn06rVRpTHov2n1FXJ8hRxbtqRMpO5+RsLn07N0v1mEvtCfmVl7YMNoXyr/ISzbZknbDdBKiSIFxgxeeCGM6v3pp7XbGzYMy7SJ1CXV7iM1s5bRAt9NMzhtHNDbzDZK2HYCoeU7Kc15z0fvpQn33wTYGy0kLlKQttgCfv3rsEg4hOINZ5wB7drlNy6RbIuVSM1smJndmPC9BzAPmAZ8bGa7xrzfPcAK4CkzOzTqxxwK3Jo4JcbM5pjZiIrv7j4V+DswIioKcSTwLLAK+EvMe4tILSsrC49zIbRML788v/GI5ELcFulJrPvo9RbgDeDAaPsNcS7i7guBnoTiDc8RKhrdBgxJOrQR6xd4OBl4BrgVeIKQRHtE1xSRAlRSElqhZmEE7yOP5DsikeyLW5BhC+Bj+LlPc0/gHHd/x8xuJVQ8isXdZwI9qjimQyXbFgPnRS8RKRJlZTBjRliC7ZproG/fUF5QpK6I2yL9kbWjbXsAC939nej7csJgIRGR9ZSUwKRJcP/9sOGGod90jYYISh0SN5FOAi6P+iYvJfRXVugIfJbtwESkbmnXDm69NRS6v+eefEcjkj1xE+nvCIOExhAqE12ZsO9UYHKW4xKROui008JKMYMHw7x5+Yujc+fQb5v86tw5fzFJ8YqVSN39c3fv4e4buftB7v5lwu7ewEW5CU9E6hKzUNR+zRo499z8lRDs0mXtaOIKTZpA1675iUeKW0bzSM2siZntbWaHRe9N3H2Ru6/MVYAiUrd06ADXXw/jxoVl1/KhrGzt/NYKKhYh1RU7kZrZZcDXwDvAy9H712Y2KEexiUgddeGFsP/+8Nvfwrff1v79N98ctt563W0HHgibbVb7sUjxi1uQ4WLCXNHRhOpCO0fvo4EbzOw3OYtQROqchg1hxAhYtCgk09rkDhddBLNnQ6NoAqAZvPpqmJZz//2wYkXtxiTFLW6L9ALgRne/wN0nu/uH0fsFhEW5lUhFJCO77gpXXgmPPQbPP1/18dngDn/4A9x1F1x2WVg7tUGD0F/79NPQsiWcfTZsvz3ccQcsXVo7cUlxi5tI2wOp1meaCGyVlWhEpF75wx9gt93gvPNgyZLkYmbZd8MNMHx4uN+NN8LVV0O3buH92GPhnXfCAuXbbw8XXxz6c2+4ARYvzn1sUrziJtJ5QK8U+w6L9ouIZKRJE3jgAfj8c7jvvu1yeq877wwt4FNOgT//OTzOrSgWUVFI3wx69QrbXn8d9tkHrrgCBgzowlVXwXff5TREKVJxE+mdwKVm9oCZHW5mnc2st5k9APweuCN3IYpIXVYx6OjZZ7dkco5mpI8cGe5x3HHhc/KI3cp06wYvvgjTpsHeey/k+uvDsnC//z188UVu4pTiFHce6Z+Bc4DDgReBqYQl0Q4HznV3rcAiItX2xz9Cu3bL+PWvYfny7F577NhQlrB379Af2yhuhfHIL34Bw4bNYMYM6NcvtGy33Tb0q378cXZjleIUe/qLu99P6CvtAHQBtgHau/sDuQlNROqL5s3h0ktnM3t2KGyfLS+8ACedFKa2PPUUNM1k9eQkO+8Mo0aF0b4DB8KDD0LHjtCqlaok1XcZFWTwYB7wT3f/zD1fdUlEpK7Ze++FnHEG3HQT/POfNb9eeXloQe65Jzz3XCiYnw3bbQd33w1z54bHxYsWrX+MqiTVL5kUZOhqZuPM7EdguZn9aGYvmlmXHMYnIvXILbeEoghnnhkWAq+ut96Co4+GHXYIo3A32aTqczK1xRYh3vffX/9xsaok1S9xCzIcxtppLjcD50fvWwETzezQXAUoIvVHy5bwl7+EFuktt1TvGh98AH36hJG448dD69bZjTHZbruFPtiK2r0NGoTFzCtGAkvdF7dFeh3wLLCHu1/j7vdG73sAzwPX5yxCEalX+vULo2uHDg39kZn48MOwukyLFjBhQpjeUhsSa/euWROm0Ej9ETeR7g7cn6JP9L5ov4hIVvzlL2FgUCaLgH/yCRx6aBjoM2FCmKpSW0pKQiu0QYMwcOr667V4eX0SN5H+AGyfYt/20X4RkawoKQmPdidPDrVvq/LFF9CzJyxeDK+8EkbT1raysjD39PrrQ4WkMWNqPwbJj7iJ9HFCcfqTzawZgJk1M7OTCY91x+YqQBGpnwYOhB49YNAgmD8/9XHffRce537zDbz0Uhilmw8VVZIuvDDMPb38cli2LD+xSO2Km0gHE/pCHwaWmNn/gCXR9+ej/SIiWWMWWqM//RRq41bWsfS//4VCCx9/HKa47L9/7ceZrEGD0Jr+7DO47bZ8RyO1IW5lo2XufhKwK3AGYfDR6cCu7n6yu2e5FomISJiz+cc/htVh/va3dfctWQJHHgnTp8MTT0D37nkJsVLdu4ci+DfcAF99le9oJNcyLcgwy91HuftN7v6Iu8/KVWAiIhCKHuy7L/zmN2uLxq9YEUb2vvkmjB4dEmqhuemmUO7w6qvzHYnkWkZVJ82sI2HuaLPkfe7+YraCEhGp0LBhqB707bfQps26+9q3h/798xNXVXbcMfSX3nlnWEh8d81tqLNiJVIz2wUYQ3i0a5Uc4oAW7BORnOjRA+bMgdWr125r2DBULypkZWXw8MNwySWhwpJV9q+nFL24j3bvBZoCfYGdgG2TXrEXEjSzXcxsgpktNbMvzOwaM0ubhM2sg5l5JS8NMBepB8rKoHHjdbc1aVL4ZfhatQqPdsePDyOKpW6K+2i3MzDA3Z+vyc3MrCXwKjATOIYwB/UWQkK/KsYlLgX+kfBdy+yK1AMVBQ8eeABWrQpJtFjK8J1/figwccklYZpOpsu4SeGL2yL9iEr6RavhXGADoK+7j3f3e4BhwO/NbOMY53/o7m8lvOZkISYRKQJlZeFxLhRXUfgmTeDmm+E//4lXXEKKT9xEeglwhZnFfoSbQh/gZXdPXHhoDCG5HlLDa4tIHZZYhq9YWqMVjjkGDjkEhgwJc1+lbkmZSM3sXTN7x8zeIVQv2hKYZWazK7YnvmLerxOwzpSZaH3TpdG+qjxoZqvN7Eszu9XMNoh5XxGpAyrK8BVLa7SCGdx6a5i+c8MN+Y5Gsi3d0/oZhNG4id9rqiWV1+VdGO1LZQXwF+AVYBHQnVBNaXtCX6uI1AMVZfiK0S9+AaecEqodnXMObLttviOSbLHKF3TJ0c3MVgGD3P32pO3zgVHufkUG1zoPuAvYy90/qGT/2cDZAG3atNl77NjCLAe8ePFiWrRoke8wKqXYqidfsZWWllJeXp72GP3cqidbsX37bVNOOWU/unb9nquvnpmFyIL68LPLhdLS0mnuvk+NL+TuKV+E5dG2SrN/S2D3dNdIOv4bYEgl25cQEmys60TntCG0mAdWdWzHjh29UJWXl+c7hJQUW/XkK7bw1zk9/dyqJ5uxXX21O7hPmZK1S9abn122AVM9g7yT6pWuj7Qf8A6waZo83BJ428ziPl6dRVJfqJm1BzYkqe80Bk96FxEpeIMGhUfUv/995YX4pfikG7V7NjDS3f+d6oBo3wjCtJY4xgG9zWyjhG0nAMuATHs+jo/ep2V4nohI3rRoAdddB2+9BQXa4yQZSpdI9wXi1M99Cdgv5v3uIQwcesrMDo36MYcCt3rClBgzm2NmIxK+DzWzW8ysb3TeNcBtwFPuPj3mvUVECsKpp4Z1UwcPDoXtpbilS6QbEkbIVmVRdGyV3H0h0JNQl/c5QjGG24AhSYc2Yt3avbMI80wfJCT3XwE3R+8iIkWlYcOwZumnn8Idd+Q7GqmpdNNf5gM7A69XcY1dgM/j3tDdZwI9qjimQ9L3MYTCDSIidULPnqHo/nXXhQITbdvmOyKprnQt0ueBS8yseaoDzKwF8DtC61JERDJw882wbBkMHZrvSKQm0iXS64EWwBQzO8LMmlbsMLMmZtaH0FptAahWh4hIhnbaCc47D+69F2Zko+SN5EXKROru3xAewa4itE5/NLPPo+IJPwIvAD8BPaJjRUQkQ1dfDRttFKbFSHFKu6CPu38I7GNmBwMHEwowQOgTnejub+Q4PhGROm2zzULt4EsvDYt/9+6d74gkU7FWxnP3ycDkHMciIlIvXXgh3HVXWLO0Z0+tWVps4i6jJiIiOdK0Kdx0U+gnHTky39FIppRIRUQKQN++a5eI+/HHfEcjmVAiFREpABVrln7zDdx4Y76jkUwokYqIFIh994WWLeH660NiTXx17pzv6CSVdKu/rDaz/aLPI81My9CKiOTYkUeuv61JE+jatfZjkXjStUhXAk2iz6cT1v8UEZEcuumm9UftNmwY+k6lMKUbZD0TGGpmz0TfjzezVCuJu7vfnd3QRETqn5ISOO00GBGtf9WkSajF265dfuOS1NIl0ouAewmrszhwaZpjHVAiFRHJgmuvhb/+FVasUGu0GKQrETjF3Xd398aAAQe4e4MUr4apriMiIpkpKYGBA6FBA7VGi0Hc+hmlhEe9IiJSC8rKQoEGtUYLX9wSgZMAzGx/oBvQClgAvOHub+cuPBGR+qmkBCZNyncUEkesRBqtSfo40BtYDXwPtAYamtlLQH93X5qzKEVERApU3IIMNwFdgAFAM3cvAZpF37sAw3MTnoiISGGLm0j7AYPd/XF3XwPg7mvc/XHgcqB/rgIUEREpZHET6SbAZyn2fQZsnJ1wREREikvcRPoBcJ6ZWeLG6Pt50X4REZF6J+70lyuAccAsM3sa+BpoCxwHdAD65CQ6ERGRAhd3+strZvYLoIzQH1oCfAm8DfR1d80xFRGReiluixR3n0EYpSsiIiIRrUcqIiJSA0qkIiIiNVDridTMdjGzCWa21My+MLNrzCx20Xsza2BmU83MzeyoXMYqIiJSldh9pNlgZi2BVwkF8I8BtgduIST0q2Je5ixgq5wEKCIikqHabpGeC2xAGOk73t3vAYYBvzezKos6RIn4OuDK3IYpIiIST6xEambTzOz8KJHVRB/gZXdflLBtDCG5HhLj/GuBfwATahiHiIhIVsRtkf6LUJj+CzP7m5n1Sq5yFFMnYFbiBnefByyN9qVkZnsAA4FLq3FfERGRnDB3j3dgWErtBOA04CDgc2AU8KC7z4l5jVXAIHe/PWn7fGCUu1+R5txJwNvufpmZdQDmAke7+/Mpjj8bOBugTZs2e48dOzZOiLVu8eLFtGjRIt9hVEqxVU++YistLaW8vDztMfq5VU8hxwaFHV8hx1ZaWjrN3fep8YXcPeMXYZDQNcAnhPVJJwOnE5ZYS3feKuDiSrbPB65Pc94A4Ctg4+h7B8CBo+LE27FjRy9U5eXl+Q4hJcVWPfmKLfx1Tk8/t+op5NjcCzu+Qo4NmOrVyIHJr+oONlodJbKKzwbcBXxiZoelOW8hYSWZZC2jfesxs8bAzYRHyw3MbFPWrjbT3Mw2yjx8ERGR7IidSM1sQzM7zczKgTmEx7x3Ae3d/SDClJTXgHvTXGYWSX2hZtYe2JCkvtMEzaNr30pItgtZu9rMGOCfcf8MIiIi2RZrHqmZjQSOJyTeJ4Cr3f31xGPcfYGZ3UH6erzjgEFmtpG7/xhtOwFYBkxKcc5ioDRpWzvgMcKqNK/F+TOIiIjkQtyCDLsSRss+lpAAKzOD9ZNeonuA3wBPmdlwYDtgKHCrJ0yJMbM5wCR3P9PdfwImJl4kGmwE8C93fzvmn0FERCTr4ibS/sCX7r4qeYeZNQK2cPd57r6Y1C1L3H2hmfUE/gw8B/wA3EZIpslxxS4bKCIiki9xE+lcoAvwTiX79oy2x0p8HtYu7VHFMR2q2P8JYYCTiIhIXsUdbJQuaTUDVmQhFhERkaKTskUaVRLaK2HTEWaWXH2oGfBLYHYOYhMRESl46R7tHgcMiT47cHWK4+YC52QzKBERkWKR7tHu9cBGhOIHRujX3Cjp1dTdt3f3V3MdqIiISCFK2SKNRuhWjNKt9QXARUREikG6PtJdgI/cfUX0Oa1oNK6IiEi9kq6P9N/AAYSpLf9mbW3dZBbt07xPERGpd9Il0lJgZsJnERERSZKuj3RSZZ9FRERkLQ0iEhERqYF0g42+JXW/6HrcvW1WIhIRESki6fpI/0IGiVRERKQ+StdHOrQW4xARESlK6iMVERGpgXR9pGOBP7j7R9HntNz9l1mNTEREpAik6yNtAzSOPrdF/aUiIiLrSddHWprwuXutRCMiIlJk1EcqIiJSA7ETqZntbmajzWyOmS2J3kdHC4CLiIjUS+n6SH9mZscCY4GPgCeAbwj9pscAU83sl+7+TM6iFBERKVCxEikwHPg78Et3/3nQkZn9AXg82q9EKiIi9U7cR7vtgQcSkyhA9P3+aL+IiEi9EzeRTgV2TbFvN+C97IQjIiJSXNIVZNgw4evvgTFm1pjwCLeij/Q44CxgQC6DFBERKVTp+kgXs24RBgNuAK5P2gbwNtAwu6GJiIgUvnSJdCA5qGZkZrsA/wd0AX4AHgCGufvqNOfsCtwC7AG0Br4GXgHK3P3LbMcoIiISV7rKRg9l+2Zm1hJ4FZhJmDqzPSFBNgCuSnPqJsBcYBTwBbAtMATY28z2dfefsh2riIhIHHGnv2TLucAGQF93XwSMN7ONgaFmdlO0bT3uPgWYkrBpopnNJ7RK90CDnUREJE8yqWx0gpm9ambzzOyb5FfMy/QBXk5KmGMIyfWQDOIG+D56b5LheSIiIlkTK5Ga2a+Ah4E5wFbAs8Dz0fmLgD/HvF8nYFbiBnefByyN9lUVRwMza2JmOwE3Au8C78S8t4iISNZZUo2Fyg8y+yehNOCNwCpgH3d/z8w2AsYDT7j7n2JcZxUwyN1vT9o+Hxjl7ldUcf5LQO/o6zTgCHevtDVsZmcDZwO0adNm77Fjq1xSNS8WL15MixYt8h1GpRRb9eQrttLSUsrLy9Meo59b9RRybFDY8RVybKWlpdPcfZ8aX8jdq3wRpsJ0jz6vqvgcfT8O+CTmdVYBF1eyfT5wfYzzdwT2B04mtGynAc2qOq9jx45eqMrLy/MdQkqKrXryFVv465yefm7VU8ixuRd2fIUcGzDVY+Suql5x+0gXAU2jz58DOyfsM8KUlDgWEkbgJmsZ7UvL3f/r7m+7+18JLdPOwK9i3ltERCTr4o7afZcwOvZlQv/o1Wb2E7ASuBp4K+Z1ZpHUF2pm7YENSeo7rYq7f2pmC4DtMjlPREQkm+Im0huAbaLPV0ef7yYMNnoXOCfmdcYBg8xsI3f/Mdp2ArAMmBTzGgBEA45aE+aXioiI5EWsROrubxG1Ot39B+AYM2sKNPUUcz9TuAf4DfCUmQ0ntCaHArcmXsfM5gCT3P3M6PufgJ8IpQh/IDxavoywPuqYDO4vIiKSVRkXZDAzAzYDvnP3FZmc6+4LzawnYbrMc4SkeBshmSbHlVi7dypwEWEUbjNgHvAkcIO7L8n0zyAiIpItsROpmR1BKOO3d3TeT2Y2DbjO3V+Iex13nwn0qOKYDknfx6CWp4iIFKC4BRnOIbQgFwO/BfpH74uBZ6P9IiIi9U7cFukVwL3ufn7S9nvM7B7gSuDerEYmIiJSBOLOI20NPJ1i35NAq+yEIyIiUlziJtJyUheVPwSYnJ1wREREikvKR7vRAtwV7gQeMLPWwDPAN0BbQnnAPsBZuQxSRESkUKXrI/03kFjR3giFF86JtlvCvpdYd7qKiIhIvZAukZbWWhQiIiJFKmUidfeMSvaJiIjURxlVNjKz/YFuhFG6C4A33P3tXAQmIiJSDGIlUjNrDjwOHE6oefs9YUpMw2ix7f7uvjRnUYqIiBSouNNfbgK6EFZqaebuJYSatwOi7cNzE56IiEhhi5tI+wGD3f1xd18D4O5r3P1x4HJCyUAREZF6J24i3QT4LMW+z4CNsxOOiIhIcYmbSD8AzouWUPtZ9P28aL+IiEi9k0nR+nHALDN7GviatZWNOhCqG4mIiNQ7sRKpu79mZr8Aygj9oSXAl8DbQN9ojVEREZF6p8pEamYNCInzU3cfkPuQREREikecPtIGwCeEQgwiIiKSoMpE6u4/AZ8CG+Y+HBERkeISd9TucOBKM9ssl8GIiIgUm7ijdnsR9ZOa2TTCqN3EJdbc3U/IdnAiIiKFLm4i3Qz4MOm7iIhIvRd3+ovWJhUREalEnOkvexOKLnwJvOfuy3MdlIiISLFImUjNrC3wd2A/oKI04Kdm1t/dp9ZGcCIiIoUu3ajdG4HtgFOBXYAjgcXAAzW5oZntYmYTzGypmX1hZteYWcMqztnXzB40sznReR+a2RAza1aTWERERGoq3aPdHsAV7v5o9H2WmX0JTDOzzdz9u0xvZmYtgVeBmcAxwPbALYSEflWaU0+Ijh0O/BfYA7g2eu+XaRwiIiLZki6RtgdmJG2bQXjMuyWQcSIFzgU2INTnXQSMN7ONgaFmdlO0rTI3JiXuiWa2HLjXzLZx90+rEYuIiEiNpXu0a8DqpG1rYpyXTh/g5aSEOYaQXA9JdVKK1u8/o/ctqhmLiIhIjVU1avchM1tSyfZHzGxp4gZ33y/G/ToBryWdNy+6VifguRjXqNCFkNg/yuAcERGRrDJ3r3yH2YOZXMjdz6jyZmargEHufnvS9vnAKHe/Is69zKwdMB140d1PT3HMYIAlHwAAHfVJREFU2cDZAG3atNl77NixcS5d6xYvXkyLFi3yHUalFFv15Cu20tJSysvL/397dx8fVXnmf/xzUSCQhEC0BGiKRUBKictDRfCB+kClGNG20q66trVGkcouskqrUroq0t0WxLXprmvFn1pXhE1Laym1RisKlOqKQiXJxoCkSF0CyoIokAQEcv3+uE9wmMwkJzNn5kzC9X695jWZe845881MkivnnPu+T6vL2PuWmEzOBpmdL5OzXXzxxRtVdWzSG1LVtN2AI8CtMdp3AD/yuY3uwB+BbUC+n3WGDRummWr16tVhR4jLsiUmrGzu17l19r4lJpOzqWZ2vkzOBmzQAGqb3ykCg7IP6B2jPd97rlUiIsCTQBFwvqq2uY4xxhiTSukupJtx50KPE5GBuEu0bfaxfilu2MwkVfWzvDHGGJNSifa+TVQ5MFlEekW0XQ00AmtbW1FEvg/MBL6pqn9KXURjjDHGv3QX0oeBw8DTInKJ1yFoHvCARgyJ8WYweizi8bXAj3CHdetE5JyIW9/0fgvGGGPMx9J6aFdV94nIF4EHcUNdPgB+gium0bkipw38knd/vXeLVAI8EWxSY4wxxp90nyNFVd/ETT/Y2jKDoh5fT8sCaowxxoSutau/vBTvuVhUtdXiaIwxxnRGrZ0j3Rt1GwZ8AdfD9qB3PwE4g8Tm3TXGGGM6vLh7pKr6t81fi8iNwGeB81T1nYj204BngBdSGdIYY4zJVH577f4AuDuyiIKbJxfXUcjX1H7GGGNMZ+O3s1F/ICvOc92BgmDiGGNM57V//352797NkSNHAt1u7969qampCXSbQQkjW7du3SgoKCAvLy8tr+e3kK4BForIX1R1Q3OjiJyNu9h2q5MpGGPMyW7//v289957FBYW0rNnT9yMp8E4cOAAvXr1anvBEKQ7m6rS2NhIXV0dQFqKqd9Du9OB94H1IrJTRDaJyE7gVa99eqoCGmNMZ7B7924KCwvJzs4OtIiaE4kI2dnZFBYWsnv37rS8pq89UlXdAXxeRC4DzsYd6n0XeF1Vn01hPmOM6RSOHDlCz549w45x0ujZs2fgh9DjadeEDF7RtMJpjDEJsD3R9Enne+17rl0RyRKRGSLymIg8LyJneO1Xi8jnUhfRGGOMyVy+9khFZBhurGhvYCNwEdB89vgLwBTguhTkM8YYYzKa3z3SfwPeAQYBk4HIfea1uBmOjDHGmJOO30L6BeDHqvoBoFHPvQcMCDSVMcYY04qnn36arKws6uvrw47iu5AeAuJ1NyvEXQ7NGGOMSYvx48ezfv16cnJywo7iu5C+AMwVkd4RbSoiWcAtWE9eY4wxaVRYWMjo0aPDjgH4L6S3A32BWmAJ7vDu3UAV8CncXLzGGGNSbcwYEDnh1isvz7WnQVNTE7m5uZSWljJ79mwKCgrIz89n0aJFACxZsoQRI0aQm5vL1KlTaWxsbPf2X3/9de69995Wl+vbty+lpaUJfx9B8lVIVfV/gVHAw7gOR3/BnRddDpylqu+mKqAxxpgI554L3buf0KTdu8N556Xl5bdt20Z9fT2lpaVkZWWxbNkypkyZwh133MHMmTMpKytj0aJFLFiwgBUrVvDUU0+1uc29e/eybNkyvvWtb9G/f3/Gjx/PypUr4y6/c+dO9uzZkzF7pL4nZFDVfcBd3s0YY0yybr0VNm1q3zqHD8PRoye2HT0Kb7wBF13kfzujR0MCe3RVVVUAzJ49m1mzZgFwxhlnsHTpUmpqali1atXxyRAeeeQRtm7d2mIbqsqGDRsoLy+nvLyc1157jV69ejFp0iQWLlxIcXEx/fv3j5uhoqICgFGjRrU7fyr4HUe6DbhSVStiPHcmsFJVBwcdzhhjTJSsLOjXD959F1RBBC0oQKL2UlOlsrKSPn36MGPGjONtzT1n58yZc8KMQvX19eTn57fYxuOPP860adMA+PKXv8xLL73E+eefT9eu/vbtKioqGDhwYMxth8HvHukg4l9GLRv4dCBpjDHmZJLoOb5du2DwYDh0CHr0oGHdOnKHDg02WxxVVVVMmDCBbt26HW+rrKyka9euXHDBBcfbGhoa2L59OyNGjGixjYsuuojbbruN8vJyVq5cSUVFBcXFxRQXFzNx4kRyc3NbzVBZWZkxe6PQyjlSEckTkdNE5DSvqX/z44jbMOAaoC4taY0xxsCAAVBSAl26QEkJ2q9f2l66qqqqxbnJiooKhg8fTlZW1gnLNTU1UVRU1GIbQ4YM4YEHHqCmpoa3336bO++8kx07dnDttddy6qmncskll3D//ffHzVBRUdExCilwG7AdeBvXS/c33teRtxrgVtzMR8YYY9LlrrtgwgR3nyaNjY3U1ta2KGKx9hArKyvJyclh8ODWz/oNGjSIGTNm8Lvf/Y69e/fyzDPPMHLkSB577LGYyx8+fJgtW7ZkVCFt7dDuMmADbjrAlcD3gC1Ry3wEbFHVd1ITzxhjTEwDBsDate7rAwfS8pLV1dU0NTXFLJrNHY8i24qKiujSpeX+2ocffsiuXbtivsbAgQOZPn0606fHvsx1dXU1x44d6xiFVFW3AlsBRORi4M+qmp5PyxhjTMapqqoiJyeHIUOGHG/bt28fO3bsYOTIkScsW1lZ2aKt2fLly7npppvafD3V6Blp3WHd7OxshqbpnLAffi/svbb5axHpAvSIsUxDgLmMMcZkmJKSEkpKSk5oy8/Pj1nw1np7ywdi7C1PmzbteK/d9nr55ZcZN25czD3dsPhKIs6dIlILHAEOxLj5IiIjRORFEWkQkZ0iMl9EPtHGOt1FZJGIrBORRhFp+akZY4zptOrq6igrK6OsrIzLL7887Dgn8FvSZwFzgMdw50z/BZgPvIXrkBT7YHYUEckHVuE6L33F28Z3gdbngnJDbKYBDcArPjMbY4zpJObPn8/MmTO57rrruOWWW8KOcwK/hfQm4B7gPu/xClW9FygCNgNn+NzOzbiryExV1RdU9WFcEZ0tInnxVvIu33aKqk7G9R42xhhzElm8eDF79uzhoYceonuaJp/wy28hPR3YpKrHcId2+wCoahPwEPBtn9spBp5X1f0RbWW44nphaytqrIPwxhhjTMj8FtK9QPNUE+8AkZcZyCf+tUqjDcftwR7nDZ1p8J4zxhhjOhS/UwS+DJyNu+7oMmCeiJyCG0f6D8CLPreTT+yLgO/znguMiEzHO3fbt29f1qxZE+TmA3Pw4EHLlgDLFltbr2vvW2KCyNa7d++YPViDcOzYsZRtO1lhZjt06FB6fqZUtc0b8Flgovd1FvBT3LSA7wO/AAp8bucIcGuM9h3Aj3xuYybekV6/t2HDhmmmWr16ddgR4rJsiQkrm/d70Sp73xITRLY333wz+SBx7N+/P2XbTlaY2dp6z4EN2o5aEu/mdxzpFrxZjVT1MPCP3q299gG9Y7Tne88ZY4wxHUq6R7RuJupcqIgMxA1v2RxzDWOMMSaD+b6wt4hcBVwJFBJ7ZqNxPjZTDtwuIr304+kGrwYagbXxVzPGGGMyk98Ley8A7gBeB2pxnYwS8TBucoenRWQhMBiYBzygEUNivBmU1qrqjRFtxUAOMNp7/HXvqddV9a8J5jHGGGOS4neP9AbgB6r642ReTFX3icgXgQeB3+F68P4EV0yjc0VPG/gz4DMRj5d79yXAE8nkMsYYYxLlt5AeATYG8YKq+iYwsY1lBvlpM8YYY8Lmt7PRT4FpIiKpDGOMMcb48fTTT5OVlUV9fX3YUXwPf7lPRO4HNovIWlpOqqCqemfg6YwxxpgYxo8fz/r168nJyQk7iu/ORt8AbgWacFMFRnc2UsAKqTHGmLQoLCyksLAw7BiA/0O7C3AzGJ2qqoWqenrUbXAKMxpjjMkQTU1N5ObmUlpayuzZsykoKCA/P59FixYBsGTJEkaMGEFubi5Tp06lsbGxxTZeeeUVHn/8cXbu3Jlwjr59+1JaWprw+kHyW0jzgMcjxn4aY4wJwZgxIHLiLS+vF2PGtL1uELZt20Z9fT2lpaVkZWWxbNkypkyZwh133MHMmTMpKytj0aJFLFiwgBUrVvDUU0+12MaBAweYO3cuhYWFjBkzhrlz57Ju3TqOHj3qK8POnTvZs2cPo0ePDvrbS4jfXru/Bi7G/+T0xhhjUuDcc+HNN+GjiBNs3bsr552Xnr6gVVVVAMyePZtZs2YBcMYZZ7B06VJqampYtWoVzf1SH3nkEbZu3dpiG5MnT2bXrl1s3LiRZ599lmeffZaFCxeSl5fHpEmTKC4u5tJLL2XAgAExM1RUVAAwatSoVHyL7ea3kD4PLBCR/sBLxLiCi6o+G2QwY4zp7G69FTZtat86hw9D9I7b0aPwxhtw0UX+tzN6NCRyZLSyspI+ffowY8aM423NPWfnzJlD5OCO+vp68vNjX9hLRBg7dixjx47l7rvvZu/evfz2t79l/vz5LF/upgnQOJehrqioYODAgXG3nW5+C+l/efc3eLdoSssJFIwxxgQsKwv69YN33wVVd2i3oEDp3j19e6QTJkygW7dux9sqKyvp2rUrF1xwwfG2hoYGtm/fzogRI1rd3ttvv015eTnl5eWsXr2ao0ePHt8rjaeysjJj9kbBfyE9PaUpjDHmJJRoX5ldu2DwYDh0CHr0gHXrGhg6NDfYcHFUVVVx1VVXndBWUVHB8OHDycrKOmG5pqYmioqKWmyjtraWBx98kPLyct566y0GDRpEcXExZWVlTJw4kezs7FYzVFRUcOWVVwbzDQXA7zhSm8vWGGMyxIABUFICixe7+379Yh8CDVpjYyO1tbUt9gZj7SFWVlaSk5PD4MEtB3W8+uqrVFdX853vfIfLLruM4cOHt1gmnsOHD7Nly5aOsUcqItmq2tD8dVsbal7WGGNM6t11F1RXu/t0qa6upqmpKWbRbO54FNlWVFREly4tB4dcccUVjB079vjjzZtjX0UzVoGtrq7m2LFjHaOQAgdE5FxVfQ04iDsP2ho7R2qMMWkyYACs9S4+eSBNAxOrqqrIyclhyJAhx9v27dvHjh07GDly5AnLVlZWtmhrtnz5cm666aY2Xy9WZ6OKigqys7MZOnRoO9OnTmuF9AbgLxFfp+fYgTHGmIxUUlJCSUnJCW35+fkxC95ar8ofiFHlp02bxrRp0xLK8PLLLzNu3LiYe7phiVtIVfU/I75+Ii1pjDHGmBjq6upYt24dZWVl3HvvvWHHOYGvki4i20Qk5gFpETlTRLYFG8sYY4z52Pz585k5cybXXXcdt9xyS9hxTuB3+MsgICvOc9nApwNJY4wxxsSwePFiFi9eHHaMmFrrtZsH9Ilo6i8ip0Ut1gO4BqhLQTZjjDEm47W2R3obcA+uk5ECv4mznADfDTiXMcYY0yG0VkiXARtwhXIl8D1gS9QyHwFbVPWd1MQzxhhjMltrvXa3AlsBRORiYKOqHkxXMGOMMaYj8DsQpwbo2/xAnOkiUioiV6QmmjHGdC7xrmZigpfO99pvIX0Cd8602XzgIeBS4Dcicn2wsYwxpnPp1q0bjY2NYcc4aTQ2Np5whZpU8ltIP4+7Diki0gW4GZirqsOBfwFuTU08Y4zpHAoKCqirq6OhocH2TFNIVWloaKCuro6CgoK0vKbfcaS9gb3e12cBpwBLvccvYb12jTGmVXl5eQDs3LmTI0eOBLrtQ4cO0aNHj0C3GZQwsnXr1o1+/fodf89TzW8h3QGMANYBU4DNqto8drQ3cCgF2YwxplPJy8tLyR/3NWvWMGbMmMC3G4RMzhYUv4d2HwfuE5HlwB3AIxHPnYPrjOSLiIwQkRdFpEFEdorIfBFp88oxItJbRH4uIvtE5EMRWSoip/p9XWOMMSYV/F7Y+8ciUgecDdyCK6zNTgEe9bMdEckHVgFvAl8BhgD/iivo/9TG6r8EhgHTgCZgIbAC+IKf1zbGGGNSwe+hXVT1SeDJGO03t+P1bgZ6AlNVdT/wgjcV4TwRuc9ra0FEzgW+BFyoqn/02uqA9SJyiaquakcGY4wxJjBxD+2KyLUickpU22ki0jWq7VMiMtfn6xUDz0cVzDJccb2wjfXeay6iAN4Fx9/2njPGGGNC0do50iXA8UuQe+cx3waiL3k+EPihz9cbDmyObPCmF2zwnvO9nqemjfWMMcaYlGqtkIrPtvbIBz6I0b7Pey7o9YwxxpiU8n2OtKMRkenAdO/hYRH5nzDztOKTwJ6wQ8Rh2RITWjaRNv/XtfctMZmcDTI7XyZn+2wQG0l3Id2HG3caLd97rrX1+sZoj7ueqj6CN0xHRDao6tj2RU0Py5YYy5YYy5aYTM4GmZ0v07MFsZ22xpHGmscqmbmtNhN1TlNEBgLZxD4HGnc9T7xzp8YYY0xatFVInxeR3SKyG9jltb3Y3Oa1l7fj9cqBySLSK6LtaqARWNvGev1FZEJzg4iMBQa38/WNMcaYQLV2aPfeFLzew8As4GkRWYgrhPOAByKHxIhILbBWVW8EUNX/FpE/AE+KyPf4eEKGP/kcQ/pI24uExrIlxrIlxrIlJpOzQWbn6/TZJN1XIRCREcCDwLm4nriPAvNU9VjEMtuBNap6fURbH+AnwJW4PelngFmqmqknsY0xxpwE0l5IjTHGmM7E76T1GSmTJ8BPJJuIdBeRRSKyTkQaRSQl/+UkmO1s7z2r9dbbIiL3iEig10dKMFuRiDznLX9YRN4RkUdFZEDY2aLW7yIiG0REReTyILMlmk9EBnl5om9lYWeLWHeqiLzu/U7s9T7rnDCzici8OO+bisj3w8zmrTdWRP4gIu97t1UiMj6oXElmK/KyNYjIHhH5mYjkBphrqIgsFpFKETkmImt8rpdwXeiw40glgyfATyJbtpfpNeAVYGIQeQLKdrW37EJgK26Gqx96918LOVtv3KxbTwI7gdOBe4CzRORsVT0aYrZI04BPJ5slRfm+B7wc8TiwUybJZBORabhTQfcBt+OGvE0koL9dSWR7FHguqu2rwJ0E1AEy0WziRkKsAv4MfMtrvh03t/nfqOpfQ8zWG3cN67dwf1NOxX22A3DvXxCKgMuAV4Fu7Vgv8bqgqh3yBnwfN4Y0L6LtDtx0g3mtrHcubgjPBRFt47y2S8LM5i3XfLh9pvt4MuZ9+2SMtune+/aZsN+3GNua5GX7fCZkwxWA/wNu9HJdniGf66BU5AnqZw44ANyUadnibOv3QE3Y2XAXBzkG9I76+TsGzAg52/eB/UCfiLYrvJ/BsQFl6xLx9a9w/W3aWieputCRD+1m8gT4iWZDvU8whRLKprE7db3h3X8qzGxx7PXuuwcRjOSz/RC3x/diQHmiBfneBS3RbFd59/+ZqmAE9L55hwAnAf+VAdm6AUeB+oi2g15bstO8JpttNLBBVSOnfH0BV7CmBBFMVZsSWC2putCRC2kmT4CfaLZ0CDLbubhDIH8JJlpy2bxzkN1F5LPAAuB13GHyULOJyEjgBtzh01RJ9nP9uXc+aZeIPCAiPTMg23hgC3CjiOwQkSMisl5EzsuAbNG+hitgQRbSRLP92lvmX0WkQEQKcCMe9gHLQ87WA/goqu0o7u/I5wLKloik6kJHLqSZPAF+Jk+yH0g2EemPOxeyRFV3Z0i2Z4HDuF+IU3CHKxP57zTobP8OPKiqtQFliSXRfIeB/8Adcv4isBiYgdu7CDtbf9xcqP+EO/d4BW4v6zkR6RdytmjXAH9W1a2BpHISyqaqO4GLccX9Pe82FZisqv8XZjagFhglIpHnLs8CPoH7nQ1LUj8HHbmQmpCISHfcifmDwG0hx4l0C3AOroNFLlAuAfcqbi8RuQZXDP45zBzxqOouVZ2pqitVdY2qzgNmA18WkVEhxxPc53ijqi5V1edwHVKO4foQZASvd/iFBLs3mjAvz3JgI+6wZLH39e9F5LQwswH/Dzdv+r+LSH8RKQIewn2mQf3Tm3YduZAmMwF+Iuu1RzpeI1FJZRMRwfWOLQIuU9Ugv5+ksqnqVlVdr6pPAZOBMcC1YWXz/utehOv910XcpCJ53tM5cuJUmWnP14pfefdnJZXoY8n8riqwprnBOye3ERgRcrZIV+GK/i8CytQs0Wy34w4zf11Vn/P+AfkarlgFdXohoWyquhnXSfHvcNPOVuJOv2wC3g0oWyKS+jnoyIU0kyfATzRbOiSbrRTX3f0r3i9FJmU7Tl0X//dx01CGlS0HN9zlAdwv4z6gwnuujI87a4WVLx6Nuk9WotlqcAUquoOMENzeSxDv2zW46Ur/N6BMyWYbDlSr6pHmBlX9CKjGDVMJMxuq+jjQDzd07lO4owtDccNVwpJUXejIhTSTJ8BPNFs6JJzNG2g+E/imqv4pk7JF8zocnYrrdRdWtoO4c1WRt7/znpsLfCOgbInmi+fr3v3GIIKReLZnvPuLmxu8cYhn8fE/JGFla84zCHc6IRWHdRPN9lfgTO8UDAAikgWcCWwPORsAqnpIVatU9T3gm7ha9MuAsiUiuboQxLidMG64Xe5duK7Tl+AOFxwE/jlquVrgsai254FtuBPwX8X1DFyXIdmKcX/IHsXtEXzdu30mzGy4Q6QK/Bz3hyPy1jfkbPfjeuleifuj+/e4Pxi1QE7Yn2nU84NIzTjSRN+7ebiB9FO99ebj/hj+OuxsXtsKb91v44ZHrMWNx80PO5vXPgc4Qoxx1iF+pmd5mX7vvWeX44rBEWBUyNnycKc6puBOvyzwcl0f4PuWzcd/N/8btyfe/Di7lZ+1hOtCoB98um+48yQveb/4u3Bj9T4Rtcx24Imotj64gvABbnDwsqB/EZLIth33hzb6FuQPWruzAU/EyZUJ2a7BjdF8H9f9fjOuOGTEZxr1/CBSNAFCEu/dBuBD3LCEWlwxzQo7m9eWC/wMNy64ETebzt9kQjavfRPwXNCfZQDv2xeBP3q/E+/j/gG5KOxsuNMdf/AyNeKGqH014FzNv2OxboNaec8Srgs2ab0xxhiThI58jtQYY4wJnRVSY4wxJglWSI0xxpgkWCE1xhhjkmCF1BhjjEmCFVJjjDEmCVZIjTHGmCRYITWmAxCRxSLS6E1JZ4zJIFZIjclw3pyfk4H7cBcNMMZkECukxmQw77J1D+LmMr0X+KSITE52myKySUS+HdU+TETmRU523sZ2HhSRx5LJYkxnYFMEGnOSEZGrcddJHaIRl9oSkX8EfqCqBT63Mwg3r/GZqlqbgqjGdAi2R2rMyWcWsCSyiHpGAv/jdyOquh34EzAjuGjGdDxWSI3JUCJyoYioiFwW0Xa6iOwWkX9LcJtDgfOAX0W17wZuAC72XlNFZKKPTf4a+IaI2N8Sc9KyQ7vGZDAReQl3SbPzvYtav4K7WPlXVPVYAtv7Du4Sc3mq2uS1CTAeWO0913xB7U2qeqiN7Y3CXUpstKoGdbFtYzoU+y/SmMx2D3CeiHwJ+CXuIsjXJFJEPWcBNc1FFEDdf9PvAj2AZ1T1Ve/WahH1VAPHgHEJ5jGmw+sadgBjTHyquk5EVgG/wV1weLyqHkxik/2BPTHaR+IufFzVznxHReQDb7vGnJRsj9SYzFcLZAP3qOqO9q4sIsNF5FHvYQ/gcIzFRgLbVLU+Yr2BIvKiiNSISLWI3OcdBo522NuuMSclK6TGZDARmY7rBFQB3JjINlR1s6pO8x6+D/SJsdhI7zUiHQXuVNXPAWNw51Gnxli3j7ddY05KVkiNyVAiMgn4D+Am4GbgHBEpTmA7D4vINd7DLcDpMRYbjhsTepyq7lLVDd7XHwGVwMCobffF7S2/1d5cxnQWVkiNyUAiUgQsBxaq6pOq+iqwCpiXwOZG43rWArwMnOYVwEj7gQtE5AIROSf6EK6InAp8FXg+ar2xuHOrrySQy5hOwQqpMRlGRApwQ1D+ANwV8dQPgXEiMiVi2T+LyJ4Yt6Xe812AwXy8x7gGdxj20qiXnQOcArwIrNCIcXEikoUbd1qqqjVR610KrFXVvUl908Z0YDaO1JhOTESGA0+o6jkRbT8FhqrqlPhrHl/2E8AvgHdUdXaM5/4KzFHVp4JNbkzHYXukxnRukYd1my3CzWA0zMf6i4EDwHdjPPe3QCNQllRCYzo4K6TGdG4tCqk3hOYGYEBrK4rI+biewmOBN7wrxsyKXAS4UVWPBhvZmI7FDu0aY4wxSbA9UmOMMSYJVkiNMcaYJFghNcYYY5JghdQYY4xJghVSY4wxJglWSI0xxpgkWCE1xhhjkmCF1BhjjEmCFVJjjDEmCf8f118w9yHitQEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 20\n",
    "t_1 = 2\n",
    "N_excl = 4\n",
    "\n",
    "populations = BC_SJT(N, t_1, N_excl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Populations of Groups (no Excluding)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>130.00</td>\n",
       "      <td>213.00</td>\n",
       "      <td>266.00</td>\n",
       "      <td>226.00</td>\n",
       "      <td>132.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>130.00</td>\n",
       "      <td>248.00</td>\n",
       "      <td>226.00</td>\n",
       "      <td>150.00</td>\n",
       "      <td>81.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>8.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>86.00</td>\n",
       "      <td>186.00</td>\n",
       "      <td>348.00</td>\n",
       "      <td>397.00</td>\n",
       "      <td>291.00</td>\n",
       "      <td>141.00</td>\n",
       "      <td>64.00</td>\n",
       "      <td>31.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>11.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>109.00</td>\n",
       "      <td>259.00</td>\n",
       "      <td>485.00</td>\n",
       "      <td>539.00</td>\n",
       "      <td>414.00</td>\n",
       "      <td>231.00</td>\n",
       "      <td>121.00</td>\n",
       "      <td>54.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>23.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>10.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>110.00</td>\n",
       "      <td>296.00</td>\n",
       "      <td>680.00</td>\n",
       "      <td>818.00</td>\n",
       "      <td>608.00</td>\n",
       "      <td>330.00</td>\n",
       "      <td>147.00</td>\n",
       "      <td>90.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>19.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>23.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>142.00</td>\n",
       "      <td>361.00</td>\n",
       "      <td>776.00</td>\n",
       "      <td>1101.00</td>\n",
       "      <td>918.00</td>\n",
       "      <td>495.00</td>\n",
       "      <td>247.00</td>\n",
       "      <td>93.00</td>\n",
       "      <td>55.00</td>\n",
       "      <td>29.00</td>\n",
       "      <td>25.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>23.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>24.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>64.00</td>\n",
       "      <td>151.00</td>\n",
       "      <td>407.00</td>\n",
       "      <td>1049.00</td>\n",
       "      <td>1492.00</td>\n",
       "      <td>1260.00</td>\n",
       "      <td>741.00</td>\n",
       "      <td>338.00</td>\n",
       "      <td>183.00</td>\n",
       "      <td>89.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>29.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>65.00</td>\n",
       "      <td>190.00</td>\n",
       "      <td>543.00</td>\n",
       "      <td>1264.00</td>\n",
       "      <td>1999.00</td>\n",
       "      <td>1847.00</td>\n",
       "      <td>1007.00</td>\n",
       "      <td>479.00</td>\n",
       "      <td>219.00</td>\n",
       "      <td>132.00</td>\n",
       "      <td>71.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>22.00</td>\n",
       "      <td>27.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>84.00</td>\n",
       "      <td>197.00</td>\n",
       "      <td>522.00</td>\n",
       "      <td>1325.00</td>\n",
       "      <td>2410.00</td>\n",
       "      <td>2489.00</td>\n",
       "      <td>1516.00</td>\n",
       "      <td>712.00</td>\n",
       "      <td>338.00</td>\n",
       "      <td>179.00</td>\n",
       "      <td>87.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>24.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>29.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>77.00</td>\n",
       "      <td>180.00</td>\n",
       "      <td>525.00</td>\n",
       "      <td>1374.00</td>\n",
       "      <td>2653.00</td>\n",
       "      <td>3013.00</td>\n",
       "      <td>1823.00</td>\n",
       "      <td>916.00</td>\n",
       "      <td>449.00</td>\n",
       "      <td>204.00</td>\n",
       "      <td>125.00</td>\n",
       "      <td>95.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>25.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>23.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>79.00</td>\n",
       "      <td>156.00</td>\n",
       "      <td>360.00</td>\n",
       "      <td>949.00</td>\n",
       "      <td>2078.00</td>\n",
       "      <td>2580.00</td>\n",
       "      <td>1688.00</td>\n",
       "      <td>912.00</td>\n",
       "      <td>461.00</td>\n",
       "      <td>234.00</td>\n",
       "      <td>164.00</td>\n",
       "      <td>83.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>8.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>25.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>101.00</td>\n",
       "      <td>260.00</td>\n",
       "      <td>678.00</td>\n",
       "      <td>1523.00</td>\n",
       "      <td>2089.00</td>\n",
       "      <td>1497.00</td>\n",
       "      <td>806.00</td>\n",
       "      <td>425.00</td>\n",
       "      <td>236.00</td>\n",
       "      <td>133.00</td>\n",
       "      <td>73.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>14.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>54.00</td>\n",
       "      <td>157.00</td>\n",
       "      <td>427.00</td>\n",
       "      <td>1043.00</td>\n",
       "      <td>1460.00</td>\n",
       "      <td>1087.00</td>\n",
       "      <td>698.00</td>\n",
       "      <td>385.00</td>\n",
       "      <td>198.00</td>\n",
       "      <td>118.00</td>\n",
       "      <td>89.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>15.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>61.00</td>\n",
       "      <td>104.00</td>\n",
       "      <td>316.00</td>\n",
       "      <td>699.00</td>\n",
       "      <td>1058.00</td>\n",
       "      <td>853.00</td>\n",
       "      <td>491.00</td>\n",
       "      <td>314.00</td>\n",
       "      <td>189.00</td>\n",
       "      <td>103.00</td>\n",
       "      <td>62.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>27.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>6.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>82.00</td>\n",
       "      <td>215.00</td>\n",
       "      <td>450.00</td>\n",
       "      <td>708.00</td>\n",
       "      <td>561.00</td>\n",
       "      <td>395.00</td>\n",
       "      <td>200.00</td>\n",
       "      <td>152.00</td>\n",
       "      <td>87.00</td>\n",
       "      <td>60.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>23.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>7.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>27.00</td>\n",
       "      <td>52.00</td>\n",
       "      <td>121.00</td>\n",
       "      <td>274.00</td>\n",
       "      <td>419.00</td>\n",
       "      <td>406.00</td>\n",
       "      <td>225.00</td>\n",
       "      <td>174.00</td>\n",
       "      <td>113.00</td>\n",
       "      <td>75.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>77.00</td>\n",
       "      <td>164.00</td>\n",
       "      <td>244.00</td>\n",
       "      <td>202.00</td>\n",
       "      <td>156.00</td>\n",
       "      <td>73.00</td>\n",
       "      <td>65.00</td>\n",
       "      <td>53.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>4.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>24.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>77.00</td>\n",
       "      <td>101.00</td>\n",
       "      <td>100.00</td>\n",
       "      <td>82.00</td>\n",
       "      <td>56.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>24.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>64.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>27.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      1     2     3     4     5      6      7       8       9       10  \\\n",
       "1   4.00  3.00  3.00  4.00 19.00  44.00 130.00  213.00  266.00  226.00   \n",
       "2   5.00  2.00  7.00 15.00 14.00  51.00 130.00  248.00  226.00  150.00   \n",
       "3   8.00  8.00  6.00 12.00 40.00  86.00 186.00  348.00  397.00  291.00   \n",
       "4  11.00  7.00 14.00 13.00 45.00 109.00 259.00  485.00  539.00  414.00   \n",
       "5  10.00  8.00  9.00 19.00 45.00 110.00 296.00  680.00  818.00  608.00   \n",
       "6  19.00 11.00 22.00 23.00 51.00 142.00 361.00  776.00 1101.00  918.00   \n",
       "7  23.00 13.00 24.00 22.00 64.00 151.00 407.00 1049.00 1492.00 1260.00   \n",
       "8  29.00 15.00 20.00 42.00 65.00 190.00 543.00 1264.00 1999.00 1847.00   \n",
       "9  22.00 27.00 40.00 42.00 84.00 197.00 522.00 1325.00 2410.00 2489.00   \n",
       "10 29.00 20.00 33.00 42.00 77.00 180.00 525.00 1374.00 2653.00 3013.00   \n",
       "11 23.00 19.00 16.00 45.00 79.00 156.00 360.00  949.00 2078.00 2580.00   \n",
       "12 25.00 17.00 16.00 32.00 48.00 101.00 260.00  678.00 1523.00 2089.00   \n",
       "13 14.00 15.00 10.00 26.00 35.00  54.00 157.00  427.00 1043.00 1460.00   \n",
       "14 15.00  8.00 10.00 14.00 32.00  61.00 104.00  316.00  699.00 1058.00   \n",
       "15  6.00  8.00  2.00 16.00 19.00  44.00  82.00  215.00  450.00  708.00   \n",
       "16  7.00  3.00  8.00  5.00 17.00  27.00  52.00  121.00  274.00  419.00   \n",
       "17  2.00  2.00  9.00  8.00  9.00  20.00  36.00   77.00  164.00  244.00   \n",
       "18  4.00  2.00  0.00  4.00 10.00  12.00  24.00   40.00   77.00  101.00   \n",
       "19  0.00  0.00  2.00  1.00  2.00   5.00   4.00   24.00   44.00   64.00   \n",
       "20  0.00  0.00  0.00  0.00  2.00   0.00   3.00   11.00    8.00   22.00   \n",
       "\n",
       "        11     12     13     14     15    16    17    18    19   20  \n",
       "1   132.00  49.00  33.00  15.00   8.00  5.00  3.00  3.00  3.00 2.00  \n",
       "2    81.00  39.00  15.00  10.00   5.00  3.00  2.00  3.00  1.00 1.00  \n",
       "3   141.00  64.00  31.00  22.00  12.00 10.00  8.00  2.00  1.00 1.00  \n",
       "4   231.00 121.00  54.00  34.00  23.00 12.00  8.00  3.00  7.00 3.00  \n",
       "5   330.00 147.00  90.00  32.00  35.00 21.00 14.00  8.00  3.00 0.00  \n",
       "6   495.00 247.00  93.00  55.00  29.00 25.00 10.00  7.00 10.00 5.00  \n",
       "7   741.00 338.00 183.00  89.00  48.00 22.00 26.00 17.00  8.00 2.00  \n",
       "8  1007.00 479.00 219.00 132.00  71.00 36.00 21.00 14.00  8.00 3.00  \n",
       "9  1516.00 712.00 338.00 179.00  87.00 40.00 37.00 24.00 16.00 2.00  \n",
       "10 1823.00 916.00 449.00 204.00 125.00 95.00 45.00 25.00 15.00 3.00  \n",
       "11 1688.00 912.00 461.00 234.00 164.00 83.00 46.00 37.00 15.00 8.00  \n",
       "12 1497.00 806.00 425.00 236.00 133.00 73.00 40.00 36.00 26.00 4.00  \n",
       "13 1087.00 698.00 385.00 198.00 118.00 89.00 44.00 28.00 28.00 5.00  \n",
       "14  853.00 491.00 314.00 189.00 103.00 62.00 39.00 27.00 14.00 1.00  \n",
       "15  561.00 395.00 200.00 152.00  87.00 60.00 28.00 23.00 14.00 4.00  \n",
       "16  406.00 225.00 174.00 113.00  75.00 40.00 30.00 19.00 16.00 3.00  \n",
       "17  202.00 156.00  73.00  65.00  53.00 16.00  9.00  9.00  3.00 1.00  \n",
       "18  100.00  82.00  56.00  32.00  28.00 15.00 11.00  9.00  4.00 1.00  \n",
       "19   45.00  39.00  27.00  17.00  11.00  9.00  4.00  4.00  3.00 0.00  \n",
       "20   21.00  15.00   5.00   6.00   3.00  3.00  1.00  2.00  1.00 0.00  "
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(populations, \n",
    "             columns=np.arange(1, N+1), \n",
    "             index = np.arange(1, N+1))"
   ]
  }
 ],
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